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Finding the Third Proportional to 33,502.50 and 69,435

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Solution

The third proportional to 33,502.50 and 69,435 is: 143,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502.50 : 69,435 = 69,435 : x
  2. Step 2: Convert to fraction form
    33,502.50/69,435 = 69,435/x
  3. Step 3: Cross multiply
    33,502.50x = 69,435 × 69,435
  4. Step 4: Simplify right side
    33,502.50x = 4,821,219,225
  5. Step 5: Solve for x
    x = 4,821,219,225/33,502.50
  6. Step 6: Final answer
    x = 143,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.