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Finding the Third Proportional to 37,490 and 80,980

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Solution

The third proportional to 37,490 and 80,980 is: 174,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,490 : 80,980 = 80,980 : x
  2. Step 2: Convert to fraction form
    37,490/80,980 = 80,980/x
  3. Step 3: Cross multiply
    37,490x = 80,980 × 80,980
  4. Step 4: Simplify right side
    37,490x = 6,557,760,400
  5. Step 5: Solve for x
    x = 6,557,760,400/37,490
  6. Step 6: Final answer
    x = 174,920.26

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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.