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Finding the Third Proportional to 23,074 and 60,337

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Solution

The third proportional to 23,074 and 60,337 is: 157,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074 : 60,337 = 60,337 : x
  2. Step 2: Convert to fraction form
    23,074/60,337 = 60,337/x
  3. Step 3: Cross multiply
    23,074x = 60,337 × 60,337
  4. Step 4: Simplify right side
    23,074x = 3,640,553,569
  5. Step 5: Solve for x
    x = 3,640,553,569/23,074
  6. Step 6: Final answer
    x = 157,777.31

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.