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Finding the Third Proportional to 5,038 and 6,543

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Solution

The third proportional to 5,038 and 6,543 is: 8,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 6,543 = 6,543 : x
  2. Step 2: Convert to fraction form
    5,038/6,543 = 6,543/x
  3. Step 3: Cross multiply
    5,038x = 6,543 × 6,543
  4. Step 4: Simplify right side
    5,038x = 42,810,849
  5. Step 5: Solve for x
    x = 42,810,849/5,038
  6. Step 6: Final answer
    x = 8,497.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.