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Finding the Third Proportional to 29,424 and 67,224

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Solution

The third proportional to 29,424 and 67,224 is: 153,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424 : 67,224 = 67,224 : x
  2. Step 2: Convert to fraction form
    29,424/67,224 = 67,224/x
  3. Step 3: Cross multiply
    29,424x = 67,224 × 67,224
  4. Step 4: Simplify right side
    29,424x = 4,519,066,176
  5. Step 5: Solve for x
    x = 4,519,066,176/29,424
  6. Step 6: Final answer
    x = 153,584.36

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.