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Finding the Third Proportional to 6,859.69 and 10,385.72

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Solution

The third proportional to 6,859.69 and 10,385.72 is: 15,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.69 : 10,385.72 = 10,385.72 : x
  2. Step 2: Convert to fraction form
    6,859.69/10,385.72 = 10,385.72/x
  3. Step 3: Cross multiply
    6,859.69x = 10,385.72 × 10,385.72
  4. Step 4: Simplify right side
    6,859.69x = 107,863,153.95
  5. Step 5: Solve for x
    x = 107,863,153.95/6,859.69
  6. Step 6: Final answer
    x = 15,724.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.