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Finding the Third Proportional to 22,547.74 and 35,048.95

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Solution

The third proportional to 22,547.74 and 35,048.95 is: 54,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.74 : 35,048.95 = 35,048.95 : x
  2. Step 2: Convert to fraction form
    22,547.74/35,048.95 = 35,048.95/x
  3. Step 3: Cross multiply
    22,547.74x = 35,048.95 × 35,048.95
  4. Step 4: Simplify right side
    22,547.74x = 1,228,429,115.16
  5. Step 5: Solve for x
    x = 1,228,429,115.16/22,547.74
  6. Step 6: Final answer
    x = 54,481.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.