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Finding the Third Proportional to 40,894 and 61,544

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Solution

The third proportional to 40,894 and 61,544 is: 92,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894 : 61,544 = 61,544 : x
  2. Step 2: Convert to fraction form
    40,894/61,544 = 61,544/x
  3. Step 3: Cross multiply
    40,894x = 61,544 × 61,544
  4. Step 4: Simplify right side
    40,894x = 3,787,663,936
  5. Step 5: Solve for x
    x = 3,787,663,936/40,894
  6. Step 6: Final answer
    x = 92,621.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.