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Finding the Third Proportional to 27,712.13 and 37,396.69

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Solution

The third proportional to 27,712.13 and 37,396.69 is: 50,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.13 : 37,396.69 = 37,396.69 : x
  2. Step 2: Convert to fraction form
    27,712.13/37,396.69 = 37,396.69/x
  3. Step 3: Cross multiply
    27,712.13x = 37,396.69 × 37,396.69
  4. Step 4: Simplify right side
    27,712.13x = 1,398,512,235.97
  5. Step 5: Solve for x
    x = 1,398,512,235.97/27,712.13
  6. Step 6: Final answer
    x = 50,465.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.