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Finding the Third Proportional to 15,324.19 and 27,352.69

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Solution

The third proportional to 15,324.19 and 27,352.69 is: 48,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.19 : 27,352.69 = 27,352.69 : x
  2. Step 2: Convert to fraction form
    15,324.19/27,352.69 = 27,352.69/x
  3. Step 3: Cross multiply
    15,324.19x = 27,352.69 × 27,352.69
  4. Step 4: Simplify right side
    15,324.19x = 748,169,513.47
  5. Step 5: Solve for x
    x = 748,169,513.47/15,324.19
  6. Step 6: Final answer
    x = 48,822.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.