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Finding the Third Proportional to 37,429 and 54,682

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Solution

The third proportional to 37,429 and 54,682 is: 79,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,429 : 54,682 = 54,682 : x
  2. Step 2: Convert to fraction form
    37,429/54,682 = 54,682/x
  3. Step 3: Cross multiply
    37,429x = 54,682 × 54,682
  4. Step 4: Simplify right side
    37,429x = 2,990,121,124
  5. Step 5: Solve for x
    x = 2,990,121,124/37,429
  6. Step 6: Final answer
    x = 79,887.82

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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.