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Finding the Third Proportional to 22,677.47 and 34,798.36

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Solution

The third proportional to 22,677.47 and 34,798.36 is: 53,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.47 : 34,798.36 = 34,798.36 : x
  2. Step 2: Convert to fraction form
    22,677.47/34,798.36 = 34,798.36/x
  3. Step 3: Cross multiply
    22,677.47x = 34,798.36 × 34,798.36
  4. Step 4: Simplify right side
    22,677.47x = 1,210,925,815.19
  5. Step 5: Solve for x
    x = 1,210,925,815.19/22,677.47
  6. Step 6: Final answer
    x = 53,397.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.