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Finding the Third Proportional to 3,854 and 5,959

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Solution

The third proportional to 3,854 and 5,959 is: 9,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 5,959 = 5,959 : x
  2. Step 2: Convert to fraction form
    3,854/5,959 = 5,959/x
  3. Step 3: Cross multiply
    3,854x = 5,959 × 5,959
  4. Step 4: Simplify right side
    3,854x = 35,509,681
  5. Step 5: Solve for x
    x = 35,509,681/3,854
  6. Step 6: Final answer
    x = 9,213.72

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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.