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Finding the Third Proportional to 40,971 and 62,550

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Solution

The third proportional to 40,971 and 62,550 is: 95,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971 : 62,550 = 62,550 : x
  2. Step 2: Convert to fraction form
    40,971/62,550 = 62,550/x
  3. Step 3: Cross multiply
    40,971x = 62,550 × 62,550
  4. Step 4: Simplify right side
    40,971x = 3,912,502,500
  5. Step 5: Solve for x
    x = 3,912,502,500/40,971
  6. Step 6: Final answer
    x = 95,494.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.