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Finding the Third Proportional to 29,565.50 and 42,502

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Solution

The third proportional to 29,565.50 and 42,502 is: 61,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.50 : 42,502 = 42,502 : x
  2. Step 2: Convert to fraction form
    29,565.50/42,502 = 42,502/x
  3. Step 3: Cross multiply
    29,565.50x = 42,502 × 42,502
  4. Step 4: Simplify right side
    29,565.50x = 1,806,420,004
  5. Step 5: Solve for x
    x = 1,806,420,004/29,565.50
  6. Step 6: Final answer
    x = 61,098.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.