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Finding the Third Proportional to 29,990 and 42,721

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Solution

The third proportional to 29,990 and 42,721 is: 60,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,990 : 42,721 = 42,721 : x
  2. Step 2: Convert to fraction form
    29,990/42,721 = 42,721/x
  3. Step 3: Cross multiply
    29,990x = 42,721 × 42,721
  4. Step 4: Simplify right side
    29,990x = 1,825,083,841
  5. Step 5: Solve for x
    x = 1,825,083,841/29,990
  6. Step 6: Final answer
    x = 60,856.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.