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Finding the Third Proportional to 14,439 and 31,107

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Solution

The third proportional to 14,439 and 31,107 is: 67,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439 : 31,107 = 31,107 : x
  2. Step 2: Convert to fraction form
    14,439/31,107 = 31,107/x
  3. Step 3: Cross multiply
    14,439x = 31,107 × 31,107
  4. Step 4: Simplify right side
    14,439x = 967,645,449
  5. Step 5: Solve for x
    x = 967,645,449/14,439
  6. Step 6: Final answer
    x = 67,016.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.