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Finding the Third Proportional to 33,425.16 and 69,652.41

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Solution

The third proportional to 33,425.16 and 69,652.41 is: 145,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,425.16 : 69,652.41 = 69,652.41 : x
  2. Step 2: Convert to fraction form
    33,425.16/69,652.41 = 69,652.41/x
  3. Step 3: Cross multiply
    33,425.16x = 69,652.41 × 69,652.41
  4. Step 4: Simplify right side
    33,425.16x = 4,851,457,696.42
  5. Step 5: Solve for x
    x = 4,851,457,696.42/33,425.16
  6. Step 6: Final answer
    x = 145,143.90

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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.