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Finding the Third Proportional to 6,534.42 and 12,901.78

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Solution

The third proportional to 6,534.42 and 12,901.78 is: 25,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.42 : 12,901.78 = 12,901.78 : x
  2. Step 2: Convert to fraction form
    6,534.42/12,901.78 = 12,901.78/x
  3. Step 3: Cross multiply
    6,534.42x = 12,901.78 × 12,901.78
  4. Step 4: Simplify right side
    6,534.42x = 166,455,959.42
  5. Step 5: Solve for x
    x = 166,455,959.42/6,534.42
  6. Step 6: Final answer
    x = 25,473.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.