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Finding the Third Proportional to 20,199.38 and 47,719.13

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Solution

The third proportional to 20,199.38 and 47,719.13 is: 112,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.38 : 47,719.13 = 47,719.13 : x
  2. Step 2: Convert to fraction form
    20,199.38/47,719.13 = 47,719.13/x
  3. Step 3: Cross multiply
    20,199.38x = 47,719.13 × 47,719.13
  4. Step 4: Simplify right side
    20,199.38x = 2,277,114,890.77
  5. Step 5: Solve for x
    x = 2,277,114,890.77/20,199.38
  6. Step 6: Final answer
    x = 112,731.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.