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Finding the Third Proportional to 2,327 and 2,543

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Solution

The third proportional to 2,327 and 2,543 is: 2,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327 : 2,543 = 2,543 : x
  2. Step 2: Convert to fraction form
    2,327/2,543 = 2,543/x
  3. Step 3: Cross multiply
    2,327x = 2,543 × 2,543
  4. Step 4: Simplify right side
    2,327x = 6,466,849
  5. Step 5: Solve for x
    x = 6,466,849/2,327
  6. Step 6: Final answer
    x = 2,779.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.