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Finding the Third Proportional to 10,972 and 15,918

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Solution

The third proportional to 10,972 and 15,918 is: 23,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 15,918 = 15,918 : x
  2. Step 2: Convert to fraction form
    10,972/15,918 = 15,918/x
  3. Step 3: Cross multiply
    10,972x = 15,918 × 15,918
  4. Step 4: Simplify right side
    10,972x = 253,382,724
  5. Step 5: Solve for x
    x = 253,382,724/10,972
  6. Step 6: Final answer
    x = 23,093.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.