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Finding the Third Proportional to 33,114.45 and 69,746.70

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Solution

The third proportional to 33,114.45 and 69,746.70 is: 146,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.45 : 69,746.70 = 69,746.70 : x
  2. Step 2: Convert to fraction form
    33,114.45/69,746.70 = 69,746.70/x
  3. Step 3: Cross multiply
    33,114.45x = 69,746.70 × 69,746.70
  4. Step 4: Simplify right side
    33,114.45x = 4,864,601,507.01
  5. Step 5: Solve for x
    x = 4,864,601,507.01/33,114.45
  6. Step 6: Final answer
    x = 146,902.70

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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.