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Finding the Third Proportional to 12,587 and 17,641

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Solution

The third proportional to 12,587 and 17,641 is: 24,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587 : 17,641 = 17,641 : x
  2. Step 2: Convert to fraction form
    12,587/17,641 = 17,641/x
  3. Step 3: Cross multiply
    12,587x = 17,641 × 17,641
  4. Step 4: Simplify right side
    12,587x = 311,204,881
  5. Step 5: Solve for x
    x = 311,204,881/12,587
  6. Step 6: Final answer
    x = 24,724.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.