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Finding the Third Proportional to 39,716.50 and 58,650.50

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Solution

The third proportional to 39,716.50 and 58,650.50 is: 86,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716.50 : 58,650.50 = 58,650.50 : x
  2. Step 2: Convert to fraction form
    39,716.50/58,650.50 = 58,650.50/x
  3. Step 3: Cross multiply
    39,716.50x = 58,650.50 × 58,650.50
  4. Step 4: Simplify right side
    39,716.50x = 3,439,881,150.25
  5. Step 5: Solve for x
    x = 3,439,881,150.25/39,716.50
  6. Step 6: Final answer
    x = 86,610.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.