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Finding the Third Proportional to 26,984.39 and 37,744.73

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Solution

The third proportional to 26,984.39 and 37,744.73 is: 52,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984.39 : 37,744.73 = 37,744.73 : x
  2. Step 2: Convert to fraction form
    26,984.39/37,744.73 = 37,744.73/x
  3. Step 3: Cross multiply
    26,984.39x = 37,744.73 × 37,744.73
  4. Step 4: Simplify right side
    26,984.39x = 1,424,664,973.04
  5. Step 5: Solve for x
    x = 1,424,664,973.04/26,984.39
  6. Step 6: Final answer
    x = 52,795.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.