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Finding the Third Proportional to 38,152 and 59,074

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Solution

The third proportional to 38,152 and 59,074 is: 91,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152 : 59,074 = 59,074 : x
  2. Step 2: Convert to fraction form
    38,152/59,074 = 59,074/x
  3. Step 3: Cross multiply
    38,152x = 59,074 × 59,074
  4. Step 4: Simplify right side
    38,152x = 3,489,737,476
  5. Step 5: Solve for x
    x = 3,489,737,476/38,152
  6. Step 6: Final answer
    x = 91,469.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.