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Finding the Third Proportional to 5,706 and 6,543

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Solution

The third proportional to 5,706 and 6,543 is: 7,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 6,543 = 6,543 : x
  2. Step 2: Convert to fraction form
    5,706/6,543 = 6,543/x
  3. Step 3: Cross multiply
    5,706x = 6,543 × 6,543
  4. Step 4: Simplify right side
    5,706x = 42,810,849
  5. Step 5: Solve for x
    x = 42,810,849/5,706
  6. Step 6: Final answer
    x = 7,502.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.