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Finding the Third Proportional to 4,038 and 6,508

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Solution

The third proportional to 4,038 and 6,508 is: 10,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 6,508 = 6,508 : x
  2. Step 2: Convert to fraction form
    4,038/6,508 = 6,508/x
  3. Step 3: Cross multiply
    4,038x = 6,508 × 6,508
  4. Step 4: Simplify right side
    4,038x = 42,354,064
  5. Step 5: Solve for x
    x = 42,354,064/4,038
  6. Step 6: Final answer
    x = 10,488.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.