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Finding the Third Proportional to 39,915 and 59,878

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Solution

The third proportional to 39,915 and 59,878 is: 89,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,915 : 59,878 = 59,878 : x
  2. Step 2: Convert to fraction form
    39,915/59,878 = 59,878/x
  3. Step 3: Cross multiply
    39,915x = 59,878 × 59,878
  4. Step 4: Simplify right side
    39,915x = 3,585,374,884
  5. Step 5: Solve for x
    x = 3,585,374,884/39,915
  6. Step 6: Final answer
    x = 89,825.25

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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.