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Finding the Third Proportional to 33,814.97 and 48,064.64

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Solution

The third proportional to 33,814.97 and 48,064.64 is: 68,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.97 : 48,064.64 = 48,064.64 : x
  2. Step 2: Convert to fraction form
    33,814.97/48,064.64 = 48,064.64/x
  3. Step 3: Cross multiply
    33,814.97x = 48,064.64 × 48,064.64
  4. Step 4: Simplify right side
    33,814.97x = 2,310,209,678.41
  5. Step 5: Solve for x
    x = 2,310,209,678.41/33,814.97
  6. Step 6: Final answer
    x = 68,319.14

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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.