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Finding the Third Proportional to 7,951 and 11,359

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Solution

The third proportional to 7,951 and 11,359 is: 16,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951 : 11,359 = 11,359 : x
  2. Step 2: Convert to fraction form
    7,951/11,359 = 11,359/x
  3. Step 3: Cross multiply
    7,951x = 11,359 × 11,359
  4. Step 4: Simplify right side
    7,951x = 129,026,881
  5. Step 5: Solve for x
    x = 129,026,881/7,951
  6. Step 6: Final answer
    x = 16,227.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.