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Finding the Third Proportional to 37,430 and 80,048

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Solution

The third proportional to 37,430 and 80,048 is: 171,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430 : 80,048 = 80,048 : x
  2. Step 2: Convert to fraction form
    37,430/80,048 = 80,048/x
  3. Step 3: Cross multiply
    37,430x = 80,048 × 80,048
  4. Step 4: Simplify right side
    37,430x = 6,407,682,304
  5. Step 5: Solve for x
    x = 6,407,682,304/37,430
  6. Step 6: Final answer
    x = 171,191.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.