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Finding the Third Proportional to 10,881.84 and 14,494.57

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Solution

The third proportional to 10,881.84 and 14,494.57 is: 19,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.84 : 14,494.57 = 14,494.57 : x
  2. Step 2: Convert to fraction form
    10,881.84/14,494.57 = 14,494.57/x
  3. Step 3: Cross multiply
    10,881.84x = 14,494.57 × 14,494.57
  4. Step 4: Simplify right side
    10,881.84x = 210,092,568.54
  5. Step 5: Solve for x
    x = 210,092,568.54/10,881.84
  6. Step 6: Final answer
    x = 19,306.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.