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Finding the Third Proportional to 15,587 and 20,100

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Solution

The third proportional to 15,587 and 20,100 is: 25,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587 : 20,100 = 20,100 : x
  2. Step 2: Convert to fraction form
    15,587/20,100 = 20,100/x
  3. Step 3: Cross multiply
    15,587x = 20,100 × 20,100
  4. Step 4: Simplify right side
    15,587x = 404,010,000
  5. Step 5: Solve for x
    x = 404,010,000/15,587
  6. Step 6: Final answer
    x = 25,919.68

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.