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Finding the Third Proportional to 7,382 and 15,919

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Solution

The third proportional to 7,382 and 15,919 is: 34,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 15,919 = 15,919 : x
  2. Step 2: Convert to fraction form
    7,382/15,919 = 15,919/x
  3. Step 3: Cross multiply
    7,382x = 15,919 × 15,919
  4. Step 4: Simplify right side
    7,382x = 253,414,561
  5. Step 5: Solve for x
    x = 253,414,561/7,382
  6. Step 6: Final answer
    x = 34,328.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.