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Finding the Third Proportional to 39,820 and 62,150

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Solution

The third proportional to 39,820 and 62,150 is: 97,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820 : 62,150 = 62,150 : x
  2. Step 2: Convert to fraction form
    39,820/62,150 = 62,150/x
  3. Step 3: Cross multiply
    39,820x = 62,150 × 62,150
  4. Step 4: Simplify right side
    39,820x = 3,862,622,500
  5. Step 5: Solve for x
    x = 3,862,622,500/39,820
  6. Step 6: Final answer
    x = 97,002.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.