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Finding the Third Proportional to 22,531 and 46,489

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Solution

The third proportional to 22,531 and 46,489 is: 95,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531 : 46,489 = 46,489 : x
  2. Step 2: Convert to fraction form
    22,531/46,489 = 46,489/x
  3. Step 3: Cross multiply
    22,531x = 46,489 × 46,489
  4. Step 4: Simplify right side
    22,531x = 2,161,227,121
  5. Step 5: Solve for x
    x = 2,161,227,121/22,531
  6. Step 6: Final answer
    x = 95,922.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.