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Finding the Third Proportional to 39,214.13 and 59,671.69

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Solution

The third proportional to 39,214.13 and 59,671.69 is: 90,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.13 : 59,671.69 = 59,671.69 : x
  2. Step 2: Convert to fraction form
    39,214.13/59,671.69 = 59,671.69/x
  3. Step 3: Cross multiply
    39,214.13x = 59,671.69 × 59,671.69
  4. Step 4: Simplify right side
    39,214.13x = 3,560,710,289.10
  5. Step 5: Solve for x
    x = 3,560,710,289.10/39,214.13
  6. Step 6: Final answer
    x = 90,801.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.