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Finding the Third Proportional to 26,241.75 and 37,500.75

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Solution

The third proportional to 26,241.75 and 37,500.75 is: 53,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,241.75 : 37,500.75 = 37,500.75 : x
  2. Step 2: Convert to fraction form
    26,241.75/37,500.75 = 37,500.75/x
  3. Step 3: Cross multiply
    26,241.75x = 37,500.75 × 37,500.75
  4. Step 4: Simplify right side
    26,241.75x = 1,406,306,250.56
  5. Step 5: Solve for x
    x = 1,406,306,250.56/26,241.75
  6. Step 6: Final answer
    x = 53,590.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.