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Finding the Third Proportional to 22,996 and 34,074

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Solution

The third proportional to 22,996 and 34,074 is: 50,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 34,074 = 34,074 : x
  2. Step 2: Convert to fraction form
    22,996/34,074 = 34,074/x
  3. Step 3: Cross multiply
    22,996x = 34,074 × 34,074
  4. Step 4: Simplify right side
    22,996x = 1,161,037,476
  5. Step 5: Solve for x
    x = 1,161,037,476/22,996
  6. Step 6: Final answer
    x = 50,488.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.