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Finding the Third Proportional to 10,876.75 and 23,750.75

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Solution

The third proportional to 10,876.75 and 23,750.75 is: 51,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.75 : 23,750.75 = 23,750.75 : x
  2. Step 2: Convert to fraction form
    10,876.75/23,750.75 = 23,750.75/x
  3. Step 3: Cross multiply
    10,876.75x = 23,750.75 × 23,750.75
  4. Step 4: Simplify right side
    10,876.75x = 564,098,125.56
  5. Step 5: Solve for x
    x = 564,098,125.56/10,876.75
  6. Step 6: Final answer
    x = 51,862.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.