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Finding the Third Proportional to 33,302.25 and 70,347.38

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Solution

The third proportional to 33,302.25 and 70,347.38 is: 148,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.25 : 70,347.38 = 70,347.38 : x
  2. Step 2: Convert to fraction form
    33,302.25/70,347.38 = 70,347.38/x
  3. Step 3: Cross multiply
    33,302.25x = 70,347.38 × 70,347.38
  4. Step 4: Simplify right side
    33,302.25x = 4,948,753,169.39
  5. Step 5: Solve for x
    x = 4,948,753,169.39/33,302.25
  6. Step 6: Final answer
    x = 148,601.17

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