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Finding the Third Proportional to 17,739 and 26,977.50

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Solution

The third proportional to 17,739 and 26,977.50 is: 41,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739 : 26,977.50 = 26,977.50 : x
  2. Step 2: Convert to fraction form
    17,739/26,977.50 = 26,977.50/x
  3. Step 3: Cross multiply
    17,739x = 26,977.50 × 26,977.50
  4. Step 4: Simplify right side
    17,739x = 727,785,506.25
  5. Step 5: Solve for x
    x = 727,785,506.25/17,739
  6. Step 6: Final answer
    x = 41,027.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.