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Finding the Third Proportional to 27,309.75 and 36,699.38

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Solution

The third proportional to 27,309.75 and 36,699.38 is: 49,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.75 : 36,699.38 = 36,699.38 : x
  2. Step 2: Convert to fraction form
    27,309.75/36,699.38 = 36,699.38/x
  3. Step 3: Cross multiply
    27,309.75x = 36,699.38 × 36,699.38
  4. Step 4: Simplify right side
    27,309.75x = 1,346,844,125.39
  5. Step 5: Solve for x
    x = 1,346,844,125.39/27,309.75
  6. Step 6: Final answer
    x = 49,317.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.