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Finding the Third Proportional to 14,380 and 31,291

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Solution

The third proportional to 14,380 and 31,291 is: 68,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380 : 31,291 = 31,291 : x
  2. Step 2: Convert to fraction form
    14,380/31,291 = 31,291/x
  3. Step 3: Cross multiply
    14,380x = 31,291 × 31,291
  4. Step 4: Simplify right side
    14,380x = 979,126,681
  5. Step 5: Solve for x
    x = 979,126,681/14,380
  6. Step 6: Final answer
    x = 68,089.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.