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Finding the Third Proportional to 40,600 and 62,441

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Solution

The third proportional to 40,600 and 62,441 is: 96,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,600 : 62,441 = 62,441 : x
  2. Step 2: Convert to fraction form
    40,600/62,441 = 62,441/x
  3. Step 3: Cross multiply
    40,600x = 62,441 × 62,441
  4. Step 4: Simplify right side
    40,600x = 3,898,878,481
  5. Step 5: Solve for x
    x = 3,898,878,481/40,600
  6. Step 6: Final answer
    x = 96,031.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.