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Finding the Third Proportional to 38,238 and 59,061

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Solution

The third proportional to 38,238 and 59,061 is: 91,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238 : 59,061 = 59,061 : x
  2. Step 2: Convert to fraction form
    38,238/59,061 = 59,061/x
  3. Step 3: Cross multiply
    38,238x = 59,061 × 59,061
  4. Step 4: Simplify right side
    38,238x = 3,488,201,721
  5. Step 5: Solve for x
    x = 3,488,201,721/38,238
  6. Step 6: Final answer
    x = 91,223.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.