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Finding the Third Proportional to 26,717 and 37,975.50

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Solution

The third proportional to 26,717 and 37,975.50 is: 53,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,717 : 37,975.50 = 37,975.50 : x
  2. Step 2: Convert to fraction form
    26,717/37,975.50 = 37,975.50/x
  3. Step 3: Cross multiply
    26,717x = 37,975.50 × 37,975.50
  4. Step 4: Simplify right side
    26,717x = 1,442,138,600.25
  5. Step 5: Solve for x
    x = 1,442,138,600.25/26,717
  6. Step 6: Final answer
    x = 53,978.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.