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Finding the Third Proportional to 4,447.42 and 6,883.76

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Solution

The third proportional to 4,447.42 and 6,883.76 is: 10,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.42 : 6,883.76 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    4,447.42/6,883.76 = 6,883.76/x
  3. Step 3: Cross multiply
    4,447.42x = 6,883.76 × 6,883.76
  4. Step 4: Simplify right side
    4,447.42x = 47,386,207.33
  5. Step 5: Solve for x
    x = 47,386,207.33/4,447.42
  6. Step 6: Final answer
    x = 10,654.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.