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Finding the Third Proportional to 27,114 and 43,177.50

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Solution

The third proportional to 27,114 and 43,177.50 is: 68,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 43,177.50 = 43,177.50 : x
  2. Step 2: Convert to fraction form
    27,114/43,177.50 = 43,177.50/x
  3. Step 3: Cross multiply
    27,114x = 43,177.50 × 43,177.50
  4. Step 4: Simplify right side
    27,114x = 1,864,296,506.25
  5. Step 5: Solve for x
    x = 1,864,296,506.25/27,114
  6. Step 6: Final answer
    x = 68,757.71

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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.