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Finding the Third Proportional to 10,856 and 15,404

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Solution

The third proportional to 10,856 and 15,404 is: 21,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856 : 15,404 = 15,404 : x
  2. Step 2: Convert to fraction form
    10,856/15,404 = 15,404/x
  3. Step 3: Cross multiply
    10,856x = 15,404 × 15,404
  4. Step 4: Simplify right side
    10,856x = 237,283,216
  5. Step 5: Solve for x
    x = 237,283,216/10,856
  6. Step 6: Final answer
    x = 21,857.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.