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Finding the Third Proportional to 29,931 and 44,814

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Solution

The third proportional to 29,931 and 44,814 is: 67,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931 : 44,814 = 44,814 : x
  2. Step 2: Convert to fraction form
    29,931/44,814 = 44,814/x
  3. Step 3: Cross multiply
    29,931x = 44,814 × 44,814
  4. Step 4: Simplify right side
    29,931x = 2,008,294,596
  5. Step 5: Solve for x
    x = 2,008,294,596/29,931
  6. Step 6: Final answer
    x = 67,097.48

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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.