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Finding the Third Proportional to 7,975.13 and 16,876.69

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Solution

The third proportional to 7,975.13 and 16,876.69 is: 35,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.13 : 16,876.69 = 16,876.69 : x
  2. Step 2: Convert to fraction form
    7,975.13/16,876.69 = 16,876.69/x
  3. Step 3: Cross multiply
    7,975.13x = 16,876.69 × 16,876.69
  4. Step 4: Simplify right side
    7,975.13x = 284,822,580.97
  5. Step 5: Solve for x
    x = 284,822,580.97/7,975.13
  6. Step 6: Final answer
    x = 35,713.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.