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Finding the Third Proportional to 4,177.13 and 5,878.69

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Solution

The third proportional to 4,177.13 and 5,878.69 is: 8,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.13 : 5,878.69 = 5,878.69 : x
  2. Step 2: Convert to fraction form
    4,177.13/5,878.69 = 5,878.69/x
  3. Step 3: Cross multiply
    4,177.13x = 5,878.69 × 5,878.69
  4. Step 4: Simplify right side
    4,177.13x = 34,558,966.72
  5. Step 5: Solve for x
    x = 34,558,966.72/4,177.13
  6. Step 6: Final answer
    x = 8,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.