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Finding the Third Proportional to 39,052.13 and 84,037.50

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Solution

The third proportional to 39,052.13 and 84,037.50 is: 180,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,052.13 : 84,037.50 = 84,037.50 : x
  2. Step 2: Convert to fraction form
    39,052.13/84,037.50 = 84,037.50/x
  3. Step 3: Cross multiply
    39,052.13x = 84,037.50 × 84,037.50
  4. Step 4: Simplify right side
    39,052.13x = 7,062,301,406.25
  5. Step 5: Solve for x
    x = 7,062,301,406.25/39,052.13
  6. Step 6: Final answer
    x = 180,842.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.