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Finding the Third Proportional to 23,129 and 25,559

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Solution

The third proportional to 23,129 and 25,559 is: 28,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129 : 25,559 = 25,559 : x
  2. Step 2: Convert to fraction form
    23,129/25,559 = 25,559/x
  3. Step 3: Cross multiply
    23,129x = 25,559 × 25,559
  4. Step 4: Simplify right side
    23,129x = 653,262,481
  5. Step 5: Solve for x
    x = 653,262,481/23,129
  6. Step 6: Final answer
    x = 28,244.30

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.