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Finding the Third Proportional to 37,639 and 55,044.75

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Solution

The third proportional to 37,639 and 55,044.75 is: 80,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,639 : 55,044.75 = 55,044.75 : x
  2. Step 2: Convert to fraction form
    37,639/55,044.75 = 55,044.75/x
  3. Step 3: Cross multiply
    37,639x = 55,044.75 × 55,044.75
  4. Step 4: Simplify right side
    37,639x = 3,029,924,502.56
  5. Step 5: Solve for x
    x = 3,029,924,502.56/37,639
  6. Step 6: Final answer
    x = 80,499.60

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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.