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Finding the Third Proportional to 6,728.88 and 15,716.88

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Solution

The third proportional to 6,728.88 and 15,716.88 is: 36,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.88 : 15,716.88 = 15,716.88 : x
  2. Step 2: Convert to fraction form
    6,728.88/15,716.88 = 15,716.88/x
  3. Step 3: Cross multiply
    6,728.88x = 15,716.88 × 15,716.88
  4. Step 4: Simplify right side
    6,728.88x = 247,020,159.77
  5. Step 5: Solve for x
    x = 247,020,159.77/6,728.88
  6. Step 6: Final answer
    x = 36,710.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.