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Finding the Third Proportional to 34,079 and 52,310

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Solution

The third proportional to 34,079 and 52,310 is: 80,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079 : 52,310 = 52,310 : x
  2. Step 2: Convert to fraction form
    34,079/52,310 = 52,310/x
  3. Step 3: Cross multiply
    34,079x = 52,310 × 52,310
  4. Step 4: Simplify right side
    34,079x = 2,736,336,100
  5. Step 5: Solve for x
    x = 2,736,336,100/34,079
  6. Step 6: Final answer
    x = 80,293.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.