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Finding the Third Proportional to 6,442 and 15,358

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Solution

The third proportional to 6,442 and 15,358 is: 36,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 15,358 = 15,358 : x
  2. Step 2: Convert to fraction form
    6,442/15,358 = 15,358/x
  3. Step 3: Cross multiply
    6,442x = 15,358 × 15,358
  4. Step 4: Simplify right side
    6,442x = 235,868,164
  5. Step 5: Solve for x
    x = 235,868,164/6,442
  6. Step 6: Final answer
    x = 36,614.12

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.