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Finding the Third Proportional to 37,176.75 and 77,430.75

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Solution

The third proportional to 37,176.75 and 77,430.75 is: 161,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.75 : 77,430.75 = 77,430.75 : x
  2. Step 2: Convert to fraction form
    37,176.75/77,430.75 = 77,430.75/x
  3. Step 3: Cross multiply
    37,176.75x = 77,430.75 × 77,430.75
  4. Step 4: Simplify right side
    37,176.75x = 5,995,521,045.56
  5. Step 5: Solve for x
    x = 5,995,521,045.56/37,176.75
  6. Step 6: Final answer
    x = 161,270.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.