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Finding the Third Proportional to 6,714.77 and 10,097.79

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Solution

The third proportional to 6,714.77 and 10,097.79 is: 15,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.77 : 10,097.79 = 10,097.79 : x
  2. Step 2: Convert to fraction form
    6,714.77/10,097.79 = 10,097.79/x
  3. Step 3: Cross multiply
    6,714.77x = 10,097.79 × 10,097.79
  4. Step 4: Simplify right side
    6,714.77x = 101,965,343.95
  5. Step 5: Solve for x
    x = 101,965,343.95/6,714.77
  6. Step 6: Final answer
    x = 15,185.22

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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.