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Finding the Third Proportional to 29,737.13 and 39,624.19

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Solution

The third proportional to 29,737.13 and 39,624.19 is: 52,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737.13 : 39,624.19 = 39,624.19 : x
  2. Step 2: Convert to fraction form
    29,737.13/39,624.19 = 39,624.19/x
  3. Step 3: Cross multiply
    29,737.13x = 39,624.19 × 39,624.19
  4. Step 4: Simplify right side
    29,737.13x = 1,570,076,235.04
  5. Step 5: Solve for x
    x = 1,570,076,235.04/29,737.13
  6. Step 6: Final answer
    x = 52,798.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.