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Finding the Third Proportional to 4,151.88 and 6,458.48

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Solution

The third proportional to 4,151.88 and 6,458.48 is: 10,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 6,458.48 = 6,458.48 : x
  2. Step 2: Convert to fraction form
    4,151.88/6,458.48 = 6,458.48/x
  3. Step 3: Cross multiply
    4,151.88x = 6,458.48 × 6,458.48
  4. Step 4: Simplify right side
    4,151.88x = 41,712,020.42
  5. Step 5: Solve for x
    x = 41,712,020.42/4,151.88
  6. Step 6: Final answer
    x = 10,046.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.