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Finding the Third Proportional to 37,256.75 and 80,729

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Solution

The third proportional to 37,256.75 and 80,729 is: 174,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256.75 : 80,729 = 80,729 : x
  2. Step 2: Convert to fraction form
    37,256.75/80,729 = 80,729/x
  3. Step 3: Cross multiply
    37,256.75x = 80,729 × 80,729
  4. Step 4: Simplify right side
    37,256.75x = 6,517,171,441
  5. Step 5: Solve for x
    x = 6,517,171,441/37,256.75
  6. Step 6: Final answer
    x = 174,925.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.