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Finding the Third Proportional to 20,822.91 and 32,206.78

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Solution

The third proportional to 20,822.91 and 32,206.78 is: 49,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.91 : 32,206.78 = 32,206.78 : x
  2. Step 2: Convert to fraction form
    20,822.91/32,206.78 = 32,206.78/x
  3. Step 3: Cross multiply
    20,822.91x = 32,206.78 × 32,206.78
  4. Step 4: Simplify right side
    20,822.91x = 1,037,276,758.49
  5. Step 5: Solve for x
    x = 1,037,276,758.49/20,822.91
  6. Step 6: Final answer
    x = 49,814.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.