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Finding the Third Proportional to 14,339 and 25,591

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Solution

The third proportional to 14,339 and 25,591 is: 45,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339 : 25,591 = 25,591 : x
  2. Step 2: Convert to fraction form
    14,339/25,591 = 25,591/x
  3. Step 3: Cross multiply
    14,339x = 25,591 × 25,591
  4. Step 4: Simplify right side
    14,339x = 654,899,281
  5. Step 5: Solve for x
    x = 654,899,281/14,339
  6. Step 6: Final answer
    x = 45,672.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.