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Finding the Third Proportional to 3,082.32 and 6,657.29

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Solution

The third proportional to 3,082.32 and 6,657.29 is: 14,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.32 : 6,657.29 = 6,657.29 : x
  2. Step 2: Convert to fraction form
    3,082.32/6,657.29 = 6,657.29/x
  3. Step 3: Cross multiply
    3,082.32x = 6,657.29 × 6,657.29
  4. Step 4: Simplify right side
    3,082.32x = 44,319,549.67
  5. Step 5: Solve for x
    x = 44,319,549.67/3,082.32
  6. Step 6: Final answer
    x = 14,378.61

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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.