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Finding the Third Proportional to 27,195.75 and 31,610.25

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Solution

The third proportional to 27,195.75 and 31,610.25 is: 36,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195.75 : 31,610.25 = 31,610.25 : x
  2. Step 2: Convert to fraction form
    27,195.75/31,610.25 = 31,610.25/x
  3. Step 3: Cross multiply
    27,195.75x = 31,610.25 × 31,610.25
  4. Step 4: Simplify right side
    27,195.75x = 999,207,905.06
  5. Step 5: Solve for x
    x = 999,207,905.06/27,195.75
  6. Step 6: Final answer
    x = 36,741.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.