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Finding the Third Proportional to 19,215 and 41,338.13

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Solution

The third proportional to 19,215 and 41,338.13 is: 88,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 41,338.13 = 41,338.13 : x
  2. Step 2: Convert to fraction form
    19,215/41,338.13 = 41,338.13/x
  3. Step 3: Cross multiply
    19,215x = 41,338.13 × 41,338.13
  4. Step 4: Simplify right side
    19,215x = 1,708,840,578.52
  5. Step 5: Solve for x
    x = 1,708,840,578.52/19,215
  6. Step 6: Final answer
    x = 88,932.63

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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.