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Finding the Third Proportional to 11,694.38 and 21,232.13

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Solution

The third proportional to 11,694.38 and 21,232.13 is: 38,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.38 : 21,232.13 = 21,232.13 : x
  2. Step 2: Convert to fraction form
    11,694.38/21,232.13 = 21,232.13/x
  3. Step 3: Cross multiply
    11,694.38x = 21,232.13 × 21,232.13
  4. Step 4: Simplify right side
    11,694.38x = 450,803,132.02
  5. Step 5: Solve for x
    x = 450,803,132.02/11,694.38
  6. Step 6: Final answer
    x = 38,548.72

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.