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Finding the Third Proportional to 4,329 and 4,959

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Solution

The third proportional to 4,329 and 4,959 is: 5,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329 : 4,959 = 4,959 : x
  2. Step 2: Convert to fraction form
    4,329/4,959 = 4,959/x
  3. Step 3: Cross multiply
    4,329x = 4,959 × 4,959
  4. Step 4: Simplify right side
    4,329x = 24,591,681
  5. Step 5: Solve for x
    x = 24,591,681/4,329
  6. Step 6: Final answer
    x = 5,680.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.