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Finding the Third Proportional to 7,391.67 and 16,423.17

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Solution

The third proportional to 7,391.67 and 16,423.17 is: 36,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.67 : 16,423.17 = 16,423.17 : x
  2. Step 2: Convert to fraction form
    7,391.67/16,423.17 = 16,423.17/x
  3. Step 3: Cross multiply
    7,391.67x = 16,423.17 × 16,423.17
  4. Step 4: Simplify right side
    7,391.67x = 269,720,574.44
  5. Step 5: Solve for x
    x = 269,720,574.44/7,391.67
  6. Step 6: Final answer
    x = 36,489.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.