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Finding the Third Proportional to 7,043.20 and 16,377.82

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Solution

The third proportional to 7,043.20 and 16,377.82 is: 38,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.20 : 16,377.82 = 16,377.82 : x
  2. Step 2: Convert to fraction form
    7,043.20/16,377.82 = 16,377.82/x
  3. Step 3: Cross multiply
    7,043.20x = 16,377.82 × 16,377.82
  4. Step 4: Simplify right side
    7,043.20x = 268,232,998.19
  5. Step 5: Solve for x
    x = 268,232,998.19/7,043.20
  6. Step 6: Final answer
    x = 38,083.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.