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Finding the Third Proportional to 37,488 and 80,800

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Solution

The third proportional to 37,488 and 80,800 is: 174,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,488 : 80,800 = 80,800 : x
  2. Step 2: Convert to fraction form
    37,488/80,800 = 80,800/x
  3. Step 3: Cross multiply
    37,488x = 80,800 × 80,800
  4. Step 4: Simplify right side
    37,488x = 6,528,640,000
  5. Step 5: Solve for x
    x = 6,528,640,000/37,488
  6. Step 6: Final answer
    x = 174,152.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.