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Finding the Third Proportional to 37,440.50 and 81,442

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Solution

The third proportional to 37,440.50 and 81,442 is: 177,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440.50 : 81,442 = 81,442 : x
  2. Step 2: Convert to fraction form
    37,440.50/81,442 = 81,442/x
  3. Step 3: Cross multiply
    37,440.50x = 81,442 × 81,442
  4. Step 4: Simplify right side
    37,440.50x = 6,632,799,364
  5. Step 5: Solve for x
    x = 6,632,799,364/37,440.50
  6. Step 6: Final answer
    x = 177,155.74

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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.