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Finding the Third Proportional to 40,810 and 62,426

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Solution

The third proportional to 40,810 and 62,426 is: 95,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,810 : 62,426 = 62,426 : x
  2. Step 2: Convert to fraction form
    40,810/62,426 = 62,426/x
  3. Step 3: Cross multiply
    40,810x = 62,426 × 62,426
  4. Step 4: Simplify right side
    40,810x = 3,897,005,476
  5. Step 5: Solve for x
    x = 3,897,005,476/40,810
  6. Step 6: Final answer
    x = 95,491.44

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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.