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Finding the Third Proportional to 33,871.13 and 51,690.38

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Solution

The third proportional to 33,871.13 and 51,690.38 is: 78,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871.13 : 51,690.38 = 51,690.38 : x
  2. Step 2: Convert to fraction form
    33,871.13/51,690.38 = 51,690.38/x
  3. Step 3: Cross multiply
    33,871.13x = 51,690.38 × 51,690.38
  4. Step 4: Simplify right side
    33,871.13x = 2,671,894,867.64
  5. Step 5: Solve for x
    x = 2,671,894,867.64/33,871.13
  6. Step 6: Final answer
    x = 78,884.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.