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Finding the Third Proportional to 4,123.97 and 8,885.81

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Solution

The third proportional to 4,123.97 and 8,885.81 is: 19,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.97 : 8,885.81 = 8,885.81 : x
  2. Step 2: Convert to fraction form
    4,123.97/8,885.81 = 8,885.81/x
  3. Step 3: Cross multiply
    4,123.97x = 8,885.81 × 8,885.81
  4. Step 4: Simplify right side
    4,123.97x = 78,957,663.79
  5. Step 5: Solve for x
    x = 78,957,663.79/4,123.97
  6. Step 6: Final answer
    x = 19,146.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.