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Finding the Third Proportional to 6,922.97 and 10,382.34

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Solution

The third proportional to 6,922.97 and 10,382.34 is: 15,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.97 : 10,382.34 = 10,382.34 : x
  2. Step 2: Convert to fraction form
    6,922.97/10,382.34 = 10,382.34/x
  3. Step 3: Cross multiply
    6,922.97x = 10,382.34 × 10,382.34
  4. Step 4: Simplify right side
    6,922.97x = 107,793,061.74
  5. Step 5: Solve for x
    x = 107,793,061.74/6,922.97
  6. Step 6: Final answer
    x = 15,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.