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Finding the Third Proportional to 20,320.88 and 26,964.56

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Solution

The third proportional to 20,320.88 and 26,964.56 is: 35,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.88 : 26,964.56 = 26,964.56 : x
  2. Step 2: Convert to fraction form
    20,320.88/26,964.56 = 26,964.56/x
  3. Step 3: Cross multiply
    20,320.88x = 26,964.56 × 26,964.56
  4. Step 4: Simplify right side
    20,320.88x = 727,087,630.82
  5. Step 5: Solve for x
    x = 727,087,630.82/20,320.88
  6. Step 6: Final answer
    x = 35,780.33

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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.