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Finding the Third Proportional to 37,452.38 and 55,616.63

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Solution

The third proportional to 37,452.38 and 55,616.63 is: 82,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452.38 : 55,616.63 = 55,616.63 : x
  2. Step 2: Convert to fraction form
    37,452.38/55,616.63 = 55,616.63/x
  3. Step 3: Cross multiply
    37,452.38x = 55,616.63 × 55,616.63
  4. Step 4: Simplify right side
    37,452.38x = 3,093,208,976.39
  5. Step 5: Solve for x
    x = 3,093,208,976.39/37,452.38
  6. Step 6: Final answer
    x = 82,590.46

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.