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Finding the Third Proportional to 40,894 and 62,231

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Solution

The third proportional to 40,894 and 62,231 is: 94,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894 : 62,231 = 62,231 : x
  2. Step 2: Convert to fraction form
    40,894/62,231 = 62,231/x
  3. Step 3: Cross multiply
    40,894x = 62,231 × 62,231
  4. Step 4: Simplify right side
    40,894x = 3,872,697,361
  5. Step 5: Solve for x
    x = 3,872,697,361/40,894
  6. Step 6: Final answer
    x = 94,700.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.