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Finding the Third Proportional to 16,065.84 and 18,738.84

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Solution

The third proportional to 16,065.84 and 18,738.84 is: 21,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.84 : 18,738.84 = 18,738.84 : x
  2. Step 2: Convert to fraction form
    16,065.84/18,738.84 = 18,738.84/x
  3. Step 3: Cross multiply
    16,065.84x = 18,738.84 × 18,738.84
  4. Step 4: Simplify right side
    16,065.84x = 351,144,265.09
  5. Step 5: Solve for x
    x = 351,144,265.09/16,065.84
  6. Step 6: Final answer
    x = 21,856.57

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.