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Finding the Third Proportional to 37,721 and 79,573

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Solution

The third proportional to 37,721 and 79,573 is: 167,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721 : 79,573 = 79,573 : x
  2. Step 2: Convert to fraction form
    37,721/79,573 = 79,573/x
  3. Step 3: Cross multiply
    37,721x = 79,573 × 79,573
  4. Step 4: Simplify right side
    37,721x = 6,331,862,329
  5. Step 5: Solve for x
    x = 6,331,862,329/37,721
  6. Step 6: Final answer
    x = 167,860.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.