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Finding the Third Proportional to 33,324 and 70,395

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Solution

The third proportional to 33,324 and 70,395 is: 148,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,324 : 70,395 = 70,395 : x
  2. Step 2: Convert to fraction form
    33,324/70,395 = 70,395/x
  3. Step 3: Cross multiply
    33,324x = 70,395 × 70,395
  4. Step 4: Simplify right side
    33,324x = 4,955,456,025
  5. Step 5: Solve for x
    x = 4,955,456,025/33,324
  6. Step 6: Final answer
    x = 148,705.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.