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Finding the Third Proportional to 5,597 and 11,446

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Solution

The third proportional to 5,597 and 11,446 is: 23,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597 : 11,446 = 11,446 : x
  2. Step 2: Convert to fraction form
    5,597/11,446 = 11,446/x
  3. Step 3: Cross multiply
    5,597x = 11,446 × 11,446
  4. Step 4: Simplify right side
    5,597x = 131,010,916
  5. Step 5: Solve for x
    x = 131,010,916/5,597
  6. Step 6: Final answer
    x = 23,407.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.