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Finding the Third Proportional to 33,394 and 70,028

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Solution

The third proportional to 33,394 and 70,028 is: 146,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394 : 70,028 = 70,028 : x
  2. Step 2: Convert to fraction form
    33,394/70,028 = 70,028/x
  3. Step 3: Cross multiply
    33,394x = 70,028 × 70,028
  4. Step 4: Simplify right side
    33,394x = 4,903,920,784
  5. Step 5: Solve for x
    x = 4,903,920,784/33,394
  6. Step 6: Final answer
    x = 146,850.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.