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Finding the Third Proportional to 4,038 and 8,442

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Solution

The third proportional to 4,038 and 8,442 is: 17,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 8,442 = 8,442 : x
  2. Step 2: Convert to fraction form
    4,038/8,442 = 8,442/x
  3. Step 3: Cross multiply
    4,038x = 8,442 × 8,442
  4. Step 4: Simplify right side
    4,038x = 71,267,364
  5. Step 5: Solve for x
    x = 71,267,364/4,038
  6. Step 6: Final answer
    x = 17,649.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.