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Finding the Third Proportional to 39,390.25 and 59,114

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Solution

The third proportional to 39,390.25 and 59,114 is: 88,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,390.25 : 59,114 = 59,114 : x
  2. Step 2: Convert to fraction form
    39,390.25/59,114 = 59,114/x
  3. Step 3: Cross multiply
    39,390.25x = 59,114 × 59,114
  4. Step 4: Simplify right side
    39,390.25x = 3,494,464,996
  5. Step 5: Solve for x
    x = 3,494,464,996/39,390.25
  6. Step 6: Final answer
    x = 88,713.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.