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Finding the Third Proportional to 57,449 and 82,743.50

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Solution

The third proportional to 57,449 and 82,743.50 is: 119,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449 : 82,743.50 = 82,743.50 : x
  2. Step 2: Convert to fraction form
    57,449/82,743.50 = 82,743.50/x
  3. Step 3: Cross multiply
    57,449x = 82,743.50 × 82,743.50
  4. Step 4: Simplify right side
    57,449x = 6,846,486,792.25
  5. Step 5: Solve for x
    x = 6,846,486,792.25/57,449
  6. Step 6: Final answer
    x = 119,175.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.