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Finding the Third Proportional to 39,510 and 62,550

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Solution

The third proportional to 39,510 and 62,550 is: 99,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,510 : 62,550 = 62,550 : x
  2. Step 2: Convert to fraction form
    39,510/62,550 = 62,550/x
  3. Step 3: Cross multiply
    39,510x = 62,550 × 62,550
  4. Step 4: Simplify right side
    39,510x = 3,912,502,500
  5. Step 5: Solve for x
    x = 3,912,502,500/39,510
  6. Step 6: Final answer
    x = 99,025.63

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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.