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Finding the Third Proportional to 22,231.75 and 52,479

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Solution

The third proportional to 22,231.75 and 52,479 is: 123,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.75 : 52,479 = 52,479 : x
  2. Step 2: Convert to fraction form
    22,231.75/52,479 = 52,479/x
  3. Step 3: Cross multiply
    22,231.75x = 52,479 × 52,479
  4. Step 4: Simplify right side
    22,231.75x = 2,754,045,441
  5. Step 5: Solve for x
    x = 2,754,045,441/22,231.75
  6. Step 6: Final answer
    x = 123,878.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.