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Finding the Third Proportional to 37,266 and 54,711

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Solution

The third proportional to 37,266 and 54,711 is: 80,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,266 : 54,711 = 54,711 : x
  2. Step 2: Convert to fraction form
    37,266/54,711 = 54,711/x
  3. Step 3: Cross multiply
    37,266x = 54,711 × 54,711
  4. Step 4: Simplify right side
    37,266x = 2,993,293,521
  5. Step 5: Solve for x
    x = 2,993,293,521/37,266
  6. Step 6: Final answer
    x = 80,322.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.