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Finding the Third Proportional to 2,587 and 5,727

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Solution

The third proportional to 2,587 and 5,727 is: 12,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587 : 5,727 = 5,727 : x
  2. Step 2: Convert to fraction form
    2,587/5,727 = 5,727/x
  3. Step 3: Cross multiply
    2,587x = 5,727 × 5,727
  4. Step 4: Simplify right side
    2,587x = 32,798,529
  5. Step 5: Solve for x
    x = 32,798,529/2,587
  6. Step 6: Final answer
    x = 12,678.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.