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Finding the Third Proportional to 22,623 and 52,547.50

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Solution

The third proportional to 22,623 and 52,547.50 is: 122,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623 : 52,547.50 = 52,547.50 : x
  2. Step 2: Convert to fraction form
    22,623/52,547.50 = 52,547.50/x
  3. Step 3: Cross multiply
    22,623x = 52,547.50 × 52,547.50
  4. Step 4: Simplify right side
    22,623x = 2,761,239,756.25
  5. Step 5: Solve for x
    x = 2,761,239,756.25/22,623
  6. Step 6: Final answer
    x = 122,054.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.