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Finding the Third Proportional to 12,780.28 and 27,884.25

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Solution

The third proportional to 12,780.28 and 27,884.25 is: 60,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.28 : 27,884.25 = 27,884.25 : x
  2. Step 2: Convert to fraction form
    12,780.28/27,884.25 = 27,884.25/x
  3. Step 3: Cross multiply
    12,780.28x = 27,884.25 × 27,884.25
  4. Step 4: Simplify right side
    12,780.28x = 777,531,398.06
  5. Step 5: Solve for x
    x = 777,531,398.06/12,780.28
  6. Step 6: Final answer
    x = 60,838.36

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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.