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Finding the Third Proportional to 33,298.13 and 70,834.13

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Solution

The third proportional to 33,298.13 and 70,834.13 is: 150,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.13 : 70,834.13 = 70,834.13 : x
  2. Step 2: Convert to fraction form
    33,298.13/70,834.13 = 70,834.13/x
  3. Step 3: Cross multiply
    33,298.13x = 70,834.13 × 70,834.13
  4. Step 4: Simplify right side
    33,298.13x = 5,017,473,264.52
  5. Step 5: Solve for x
    x = 5,017,473,264.52/33,298.13
  6. Step 6: Final answer
    x = 150,683.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.