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Finding the Third Proportional to 37,644 and 55,051

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Solution

The third proportional to 37,644 and 55,051 is: 80,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 55,051 = 55,051 : x
  2. Step 2: Convert to fraction form
    37,644/55,051 = 55,051/x
  3. Step 3: Cross multiply
    37,644x = 55,051 × 55,051
  4. Step 4: Simplify right side
    37,644x = 3,030,612,601
  5. Step 5: Solve for x
    x = 3,030,612,601/37,644
  6. Step 6: Final answer
    x = 80,507.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.