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Finding the Third Proportional to 3,016.41 and 4,543.59

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Solution

The third proportional to 3,016.41 and 4,543.59 is: 6,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.41 : 4,543.59 = 4,543.59 : x
  2. Step 2: Convert to fraction form
    3,016.41/4,543.59 = 4,543.59/x
  3. Step 3: Cross multiply
    3,016.41x = 4,543.59 × 4,543.59
  4. Step 4: Simplify right side
    3,016.41x = 20,644,244.17
  5. Step 5: Solve for x
    x = 20,644,244.17/3,016.41
  6. Step 6: Final answer
    x = 6,843.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.