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Finding the Third Proportional to 37,953 and 54,666

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Solution

The third proportional to 37,953 and 54,666 is: 78,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953 : 54,666 = 54,666 : x
  2. Step 2: Convert to fraction form
    37,953/54,666 = 54,666/x
  3. Step 3: Cross multiply
    37,953x = 54,666 × 54,666
  4. Step 4: Simplify right side
    37,953x = 2,988,371,556
  5. Step 5: Solve for x
    x = 2,988,371,556/37,953
  6. Step 6: Final answer
    x = 78,738.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.