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Finding the Third Proportional to 36,918 and 58,689

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Solution

The third proportional to 36,918 and 58,689 is: 93,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,918 : 58,689 = 58,689 : x
  2. Step 2: Convert to fraction form
    36,918/58,689 = 58,689/x
  3. Step 3: Cross multiply
    36,918x = 58,689 × 58,689
  4. Step 4: Simplify right side
    36,918x = 3,444,398,721
  5. Step 5: Solve for x
    x = 3,444,398,721/36,918
  6. Step 6: Final answer
    x = 93,298.63

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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.