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Finding the Third Proportional to 29,996 and 69,441

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Solution

The third proportional to 29,996 and 69,441 is: 160,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,996 : 69,441 = 69,441 : x
  2. Step 2: Convert to fraction form
    29,996/69,441 = 69,441/x
  3. Step 3: Cross multiply
    29,996x = 69,441 × 69,441
  4. Step 4: Simplify right side
    29,996x = 4,822,052,481
  5. Step 5: Solve for x
    x = 4,822,052,481/29,996
  6. Step 6: Final answer
    x = 160,756.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.