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Finding the Third Proportional to 15,898 and 25,629

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Solution

The third proportional to 15,898 and 25,629 is: 41,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898 : 25,629 = 25,629 : x
  2. Step 2: Convert to fraction form
    15,898/25,629 = 25,629/x
  3. Step 3: Cross multiply
    15,898x = 25,629 × 25,629
  4. Step 4: Simplify right side
    15,898x = 656,845,641
  5. Step 5: Solve for x
    x = 656,845,641/15,898
  6. Step 6: Final answer
    x = 41,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.