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Finding the Third Proportional to 40,821 and 62,440

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Solution

The third proportional to 40,821 and 62,440 is: 95,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,821 : 62,440 = 62,440 : x
  2. Step 2: Convert to fraction form
    40,821/62,440 = 62,440/x
  3. Step 3: Cross multiply
    40,821x = 62,440 × 62,440
  4. Step 4: Simplify right side
    40,821x = 3,898,753,600
  5. Step 5: Solve for x
    x = 3,898,753,600/40,821
  6. Step 6: Final answer
    x = 95,508.53

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Why These Related Problems?

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