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Finding the Third Proportional to 12,378.30 and 27,024.71

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Solution

The third proportional to 12,378.30 and 27,024.71 is: 59,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.30 : 27,024.71 = 27,024.71 : x
  2. Step 2: Convert to fraction form
    12,378.30/27,024.71 = 27,024.71/x
  3. Step 3: Cross multiply
    12,378.30x = 27,024.71 × 27,024.71
  4. Step 4: Simplify right side
    12,378.30x = 730,335,212.39
  5. Step 5: Solve for x
    x = 730,335,212.39/12,378.30
  6. Step 6: Final answer
    x = 59,001.23

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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.