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Finding the Third Proportional to 23,206.13 and 55,885.13

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Solution

The third proportional to 23,206.13 and 55,885.13 is: 134,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.13 : 55,885.13 = 55,885.13 : x
  2. Step 2: Convert to fraction form
    23,206.13/55,885.13 = 55,885.13/x
  3. Step 3: Cross multiply
    23,206.13x = 55,885.13 × 55,885.13
  4. Step 4: Simplify right side
    23,206.13x = 3,123,147,196.27
  5. Step 5: Solve for x
    x = 3,123,147,196.27/23,206.13
  6. Step 6: Final answer
    x = 134,582.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.