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Finding the Third Proportional to 16,471.13 and 38,863.13

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Solution

The third proportional to 16,471.13 and 38,863.13 is: 91,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.13 : 38,863.13 = 38,863.13 : x
  2. Step 2: Convert to fraction form
    16,471.13/38,863.13 = 38,863.13/x
  3. Step 3: Cross multiply
    16,471.13x = 38,863.13 × 38,863.13
  4. Step 4: Simplify right side
    16,471.13x = 1,510,342,484.77
  5. Step 5: Solve for x
    x = 1,510,342,484.77/16,471.13
  6. Step 6: Final answer
    x = 91,696.38

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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.