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Finding the Third Proportional to 9,923.87 and 21,286.76

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Solution

The third proportional to 9,923.87 and 21,286.76 is: 45,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.87 : 21,286.76 = 21,286.76 : x
  2. Step 2: Convert to fraction form
    9,923.87/21,286.76 = 21,286.76/x
  3. Step 3: Cross multiply
    9,923.87x = 21,286.76 × 21,286.76
  4. Step 4: Simplify right side
    9,923.87x = 453,126,058.17
  5. Step 5: Solve for x
    x = 453,126,058.17/9,923.87
  6. Step 6: Final answer
    x = 45,660.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.