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Finding the Third Proportional to 39,105 and 62,962.50

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Solution

The third proportional to 39,105 and 62,962.50 is: 101,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105 : 62,962.50 = 62,962.50 : x
  2. Step 2: Convert to fraction form
    39,105/62,962.50 = 62,962.50/x
  3. Step 3: Cross multiply
    39,105x = 62,962.50 × 62,962.50
  4. Step 4: Simplify right side
    39,105x = 3,964,276,406.25
  5. Step 5: Solve for x
    x = 3,964,276,406.25/39,105
  6. Step 6: Final answer
    x = 101,375.18

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.