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Finding the Third Proportional to 29,250 and 42,778.13

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Solution

The third proportional to 29,250 and 42,778.13 is: 62,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250 : 42,778.13 = 42,778.13 : x
  2. Step 2: Convert to fraction form
    29,250/42,778.13 = 42,778.13/x
  3. Step 3: Cross multiply
    29,250x = 42,778.13 × 42,778.13
  4. Step 4: Simplify right side
    29,250x = 1,829,967,978.52
  5. Step 5: Solve for x
    x = 1,829,967,978.52/29,250
  6. Step 6: Final answer
    x = 62,563.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.