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Finding the Third Proportional to 33,723.84 and 48,045.66

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Solution

The third proportional to 33,723.84 and 48,045.66 is: 68,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723.84 : 48,045.66 = 48,045.66 : x
  2. Step 2: Convert to fraction form
    33,723.84/48,045.66 = 48,045.66/x
  3. Step 3: Cross multiply
    33,723.84x = 48,045.66 × 48,045.66
  4. Step 4: Simplify right side
    33,723.84x = 2,308,385,084.49
  5. Step 5: Solve for x
    x = 2,308,385,084.49/33,723.84
  6. Step 6: Final answer
    x = 68,449.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.