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Finding the Third Proportional to 4,959 and 7,973

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Solution

The third proportional to 4,959 and 7,973 is: 12,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959 : 7,973 = 7,973 : x
  2. Step 2: Convert to fraction form
    4,959/7,973 = 7,973/x
  3. Step 3: Cross multiply
    4,959x = 7,973 × 7,973
  4. Step 4: Simplify right side
    4,959x = 63,568,729
  5. Step 5: Solve for x
    x = 63,568,729/4,959
  6. Step 6: Final answer
    x = 12,818.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.