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Finding the Third Proportional to 12,963.80 and 28,273.97

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Solution

The third proportional to 12,963.80 and 28,273.97 is: 61,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.80 : 28,273.97 = 28,273.97 : x
  2. Step 2: Convert to fraction form
    12,963.80/28,273.97 = 28,273.97/x
  3. Step 3: Cross multiply
    12,963.80x = 28,273.97 × 28,273.97
  4. Step 4: Simplify right side
    12,963.80x = 799,417,308.88
  5. Step 5: Solve for x
    x = 799,417,308.88/12,963.80
  6. Step 6: Final answer
    x = 61,665.37

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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.