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Finding the Third Proportional to 20,315.25 and 26,962.88

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Solution

The third proportional to 20,315.25 and 26,962.88 is: 35,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.25 : 26,962.88 = 26,962.88 : x
  2. Step 2: Convert to fraction form
    20,315.25/26,962.88 = 26,962.88/x
  3. Step 3: Cross multiply
    20,315.25x = 26,962.88 × 26,962.88
  4. Step 4: Simplify right side
    20,315.25x = 726,996,628.27
  5. Step 5: Solve for x
    x = 726,996,628.27/20,315.25
  6. Step 6: Final answer
    x = 35,785.76

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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.