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Finding the Third Proportional to 10,091 and 23,449

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Solution

The third proportional to 10,091 and 23,449 is: 54,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091 : 23,449 = 23,449 : x
  2. Step 2: Convert to fraction form
    10,091/23,449 = 23,449/x
  3. Step 3: Cross multiply
    10,091x = 23,449 × 23,449
  4. Step 4: Simplify right side
    10,091x = 549,855,601
  5. Step 5: Solve for x
    x = 549,855,601/10,091
  6. Step 6: Final answer
    x = 54,489.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.