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Finding the Third Proportional to 57,658 and 73,674

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Solution

The third proportional to 57,658 and 73,674 is: 94,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 73,674 = 73,674 : x
  2. Step 2: Convert to fraction form
    57,658/73,674 = 73,674/x
  3. Step 3: Cross multiply
    57,658x = 73,674 × 73,674
  4. Step 4: Simplify right side
    57,658x = 5,427,858,276
  5. Step 5: Solve for x
    x = 5,427,858,276/57,658
  6. Step 6: Final answer
    x = 94,138.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.