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Finding the Third Proportional to 7,876.41 and 17,020.97

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Solution

The third proportional to 7,876.41 and 17,020.97 is: 36,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.41 : 17,020.97 = 17,020.97 : x
  2. Step 2: Convert to fraction form
    7,876.41/17,020.97 = 17,020.97/x
  3. Step 3: Cross multiply
    7,876.41x = 17,020.97 × 17,020.97
  4. Step 4: Simplify right side
    7,876.41x = 289,713,377.19
  5. Step 5: Solve for x
    x = 289,713,377.19/7,876.41
  6. Step 6: Final answer
    x = 36,782.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.