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Finding the Third Proportional to 40,894 and 63,149

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Solution

The third proportional to 40,894 and 63,149 is: 97,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894 : 63,149 = 63,149 : x
  2. Step 2: Convert to fraction form
    40,894/63,149 = 63,149/x
  3. Step 3: Cross multiply
    40,894x = 63,149 × 63,149
  4. Step 4: Simplify right side
    40,894x = 3,987,796,201
  5. Step 5: Solve for x
    x = 3,987,796,201/40,894
  6. Step 6: Final answer
    x = 97,515.44

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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.