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Finding the Third Proportional to 33,426.84 and 69,655.78

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Solution

The third proportional to 33,426.84 and 69,655.78 is: 145,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,426.84 : 69,655.78 = 69,655.78 : x
  2. Step 2: Convert to fraction form
    33,426.84/69,655.78 = 69,655.78/x
  3. Step 3: Cross multiply
    33,426.84x = 69,655.78 × 69,655.78
  4. Step 4: Simplify right side
    33,426.84x = 4,851,927,861.55
  5. Step 5: Solve for x
    x = 4,851,927,861.55/33,426.84
  6. Step 6: Final answer
    x = 145,150.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.