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Finding the Third Proportional to 5,384 and 11,359

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Solution

The third proportional to 5,384 and 11,359 is: 23,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384 : 11,359 = 11,359 : x
  2. Step 2: Convert to fraction form
    5,384/11,359 = 11,359/x
  3. Step 3: Cross multiply
    5,384x = 11,359 × 11,359
  4. Step 4: Simplify right side
    5,384x = 129,026,881
  5. Step 5: Solve for x
    x = 129,026,881/5,384
  6. Step 6: Final answer
    x = 23,964.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.