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Finding the Third Proportional to 36,802.75 and 58,372

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Solution

The third proportional to 36,802.75 and 58,372 is: 92,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.75 : 58,372 = 58,372 : x
  2. Step 2: Convert to fraction form
    36,802.75/58,372 = 58,372/x
  3. Step 3: Cross multiply
    36,802.75x = 58,372 × 58,372
  4. Step 4: Simplify right side
    36,802.75x = 3,407,290,384
  5. Step 5: Solve for x
    x = 3,407,290,384/36,802.75
  6. Step 6: Final answer
    x = 92,582.49

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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.