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Finding the Third Proportional to 37,510 and 80,850

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Solution

The third proportional to 37,510 and 80,850 is: 174,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,510 : 80,850 = 80,850 : x
  2. Step 2: Convert to fraction form
    37,510/80,850 = 80,850/x
  3. Step 3: Cross multiply
    37,510x = 80,850 × 80,850
  4. Step 4: Simplify right side
    37,510x = 6,536,722,500
  5. Step 5: Solve for x
    x = 6,536,722,500/37,510
  6. Step 6: Final answer
    x = 174,266.13

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