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Finding the Third Proportional to 20,320.31 and 26,969.91

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Solution

The third proportional to 20,320.31 and 26,969.91 is: 35,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.31 : 26,969.91 = 26,969.91 : x
  2. Step 2: Convert to fraction form
    20,320.31/26,969.91 = 26,969.91/x
  3. Step 3: Cross multiply
    20,320.31x = 26,969.91 × 26,969.91
  4. Step 4: Simplify right side
    20,320.31x = 727,375,843.13
  5. Step 5: Solve for x
    x = 727,375,843.13/20,320.31
  6. Step 6: Final answer
    x = 35,795.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.