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Finding the Third Proportional to 25,074 and 37,337

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Solution

The third proportional to 25,074 and 37,337 is: 55,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 37,337 = 37,337 : x
  2. Step 2: Convert to fraction form
    25,074/37,337 = 37,337/x
  3. Step 3: Cross multiply
    25,074x = 37,337 × 37,337
  4. Step 4: Simplify right side
    25,074x = 1,394,051,569
  5. Step 5: Solve for x
    x = 1,394,051,569/25,074
  6. Step 6: Final answer
    x = 55,597.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.