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Finding the Third Proportional to 2,543 and 5,887

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Solution

The third proportional to 2,543 and 5,887 is: 13,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543 : 5,887 = 5,887 : x
  2. Step 2: Convert to fraction form
    2,543/5,887 = 5,887/x
  3. Step 3: Cross multiply
    2,543x = 5,887 × 5,887
  4. Step 4: Simplify right side
    2,543x = 34,656,769
  5. Step 5: Solve for x
    x = 34,656,769/2,543
  6. Step 6: Final answer
    x = 13,628.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.