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Finding the Third Proportional to 10,215.75 and 22,269.75

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Solution

The third proportional to 10,215.75 and 22,269.75 is: 48,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.75 : 22,269.75 = 22,269.75 : x
  2. Step 2: Convert to fraction form
    10,215.75/22,269.75 = 22,269.75/x
  3. Step 3: Cross multiply
    10,215.75x = 22,269.75 × 22,269.75
  4. Step 4: Simplify right side
    10,215.75x = 495,941,765.06
  5. Step 5: Solve for x
    x = 495,941,765.06/10,215.75
  6. Step 6: Final answer
    x = 48,546.78

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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.