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Finding the Third Proportional to 10,226 and 14,397

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Solution

The third proportional to 10,226 and 14,397 is: 20,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226 : 14,397 = 14,397 : x
  2. Step 2: Convert to fraction form
    10,226/14,397 = 14,397/x
  3. Step 3: Cross multiply
    10,226x = 14,397 × 14,397
  4. Step 4: Simplify right side
    10,226x = 207,273,609
  5. Step 5: Solve for x
    x = 207,273,609/10,226
  6. Step 6: Final answer
    x = 20,269.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.