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Finding the Third Proportional to 29,904 and 70,491

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Solution

The third proportional to 29,904 and 70,491 is: 166,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 70,491 = 70,491 : x
  2. Step 2: Convert to fraction form
    29,904/70,491 = 70,491/x
  3. Step 3: Cross multiply
    29,904x = 70,491 × 70,491
  4. Step 4: Simplify right side
    29,904x = 4,968,981,081
  5. Step 5: Solve for x
    x = 4,968,981,081/29,904
  6. Step 6: Final answer
    x = 166,164.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.