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Finding the Third Proportional to 37,014 and 80,598

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Solution

The third proportional to 37,014 and 80,598 is: 175,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014 : 80,598 = 80,598 : x
  2. Step 2: Convert to fraction form
    37,014/80,598 = 80,598/x
  3. Step 3: Cross multiply
    37,014x = 80,598 × 80,598
  4. Step 4: Simplify right side
    37,014x = 6,496,037,604
  5. Step 5: Solve for x
    x = 6,496,037,604/37,014
  6. Step 6: Final answer
    x = 175,502.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.