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Finding the Third Proportional to 37,922 and 60,579

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Solution

The third proportional to 37,922 and 60,579 is: 96,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,922 : 60,579 = 60,579 : x
  2. Step 2: Convert to fraction form
    37,922/60,579 = 60,579/x
  3. Step 3: Cross multiply
    37,922x = 60,579 × 60,579
  4. Step 4: Simplify right side
    37,922x = 3,669,815,241
  5. Step 5: Solve for x
    x = 3,669,815,241/37,922
  6. Step 6: Final answer
    x = 96,772.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.