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Finding the Third Proportional to 39,493 and 62,525.50

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Solution

The third proportional to 39,493 and 62,525.50 is: 98,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,493 : 62,525.50 = 62,525.50 : x
  2. Step 2: Convert to fraction form
    39,493/62,525.50 = 62,525.50/x
  3. Step 3: Cross multiply
    39,493x = 62,525.50 × 62,525.50
  4. Step 4: Simplify right side
    39,493x = 3,909,438,150.25
  5. Step 5: Solve for x
    x = 3,909,438,150.25/39,493
  6. Step 6: Final answer
    x = 98,990.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.