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Finding the Third Proportional to 36,048.38 and 77,427

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Solution

The third proportional to 36,048.38 and 77,427 is: 166,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,048.38 : 77,427 = 77,427 : x
  2. Step 2: Convert to fraction form
    36,048.38/77,427 = 77,427/x
  3. Step 3: Cross multiply
    36,048.38x = 77,427 × 77,427
  4. Step 4: Simplify right side
    36,048.38x = 5,994,940,329
  5. Step 5: Solve for x
    x = 5,994,940,329/36,048.38
  6. Step 6: Final answer
    x = 166,302.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.