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Finding the Third Proportional to 37,430 and 80,045

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Solution

The third proportional to 37,430 and 80,045 is: 171,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430 : 80,045 = 80,045 : x
  2. Step 2: Convert to fraction form
    37,430/80,045 = 80,045/x
  3. Step 3: Cross multiply
    37,430x = 80,045 × 80,045
  4. Step 4: Simplify right side
    37,430x = 6,407,202,025
  5. Step 5: Solve for x
    x = 6,407,202,025/37,430
  6. Step 6: Final answer
    x = 171,178.25

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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.