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Finding the Third Proportional to 5,810 and 12,551

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Solution

The third proportional to 5,810 and 12,551 is: 27,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810 : 12,551 = 12,551 : x
  2. Step 2: Convert to fraction form
    5,810/12,551 = 12,551/x
  3. Step 3: Cross multiply
    5,810x = 12,551 × 12,551
  4. Step 4: Simplify right side
    5,810x = 157,527,601
  5. Step 5: Solve for x
    x = 157,527,601/5,810
  6. Step 6: Final answer
    x = 27,113.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.