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Finding the Third Proportional to 27,371.67 and 51,702.05

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Solution

The third proportional to 27,371.67 and 51,702.05 is: 97,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.67 : 51,702.05 = 51,702.05 : x
  2. Step 2: Convert to fraction form
    27,371.67/51,702.05 = 51,702.05/x
  3. Step 3: Cross multiply
    27,371.67x = 51,702.05 × 51,702.05
  4. Step 4: Simplify right side
    27,371.67x = 2,673,101,651.06
  5. Step 5: Solve for x
    x = 2,673,101,651.06/27,371.67
  6. Step 6: Final answer
    x = 97,659.42

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.