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Finding the Third Proportional to 14,344 and 31,588

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Solution

The third proportional to 14,344 and 31,588 is: 69,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344 : 31,588 = 31,588 : x
  2. Step 2: Convert to fraction form
    14,344/31,588 = 31,588/x
  3. Step 3: Cross multiply
    14,344x = 31,588 × 31,588
  4. Step 4: Simplify right side
    14,344x = 997,801,744
  5. Step 5: Solve for x
    x = 997,801,744/14,344
  6. Step 6: Final answer
    x = 69,562.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.