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Finding the Third Proportional to 36,711 and 58,348

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Solution

The third proportional to 36,711 and 58,348 is: 92,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,711 : 58,348 = 58,348 : x
  2. Step 2: Convert to fraction form
    36,711/58,348 = 58,348/x
  3. Step 3: Cross multiply
    36,711x = 58,348 × 58,348
  4. Step 4: Simplify right side
    36,711x = 3,404,489,104
  5. Step 5: Solve for x
    x = 3,404,489,104/36,711
  6. Step 6: Final answer
    x = 92,737.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.