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Finding the Third Proportional to 29,982 and 43,821

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Solution

The third proportional to 29,982 and 43,821 is: 64,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 43,821 = 43,821 : x
  2. Step 2: Convert to fraction form
    29,982/43,821 = 43,821/x
  3. Step 3: Cross multiply
    29,982x = 43,821 × 43,821
  4. Step 4: Simplify right side
    29,982x = 1,920,280,041
  5. Step 5: Solve for x
    x = 1,920,280,041/29,982
  6. Step 6: Final answer
    x = 64,047.76

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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.