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Finding the Third Proportional to 36,596 and 80,320

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Solution

The third proportional to 36,596 and 80,320 is: 176,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596 : 80,320 = 80,320 : x
  2. Step 2: Convert to fraction form
    36,596/80,320 = 80,320/x
  3. Step 3: Cross multiply
    36,596x = 80,320 × 80,320
  4. Step 4: Simplify right side
    36,596x = 6,451,302,400
  5. Step 5: Solve for x
    x = 6,451,302,400/36,596
  6. Step 6: Final answer
    x = 176,284.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.