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Finding the Third Proportional to 29,052 and 39,892.50

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Solution

The third proportional to 29,052 and 39,892.50 is: 54,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 39,892.50 = 39,892.50 : x
  2. Step 2: Convert to fraction form
    29,052/39,892.50 = 39,892.50/x
  3. Step 3: Cross multiply
    29,052x = 39,892.50 × 39,892.50
  4. Step 4: Simplify right side
    29,052x = 1,591,411,556.25
  5. Step 5: Solve for x
    x = 1,591,411,556.25/29,052
  6. Step 6: Final answer
    x = 54,778.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.