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Finding the Third Proportional to 5,069.11 and 10,838.81

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Solution

The third proportional to 5,069.11 and 10,838.81 is: 23,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.11 : 10,838.81 = 10,838.81 : x
  2. Step 2: Convert to fraction form
    5,069.11/10,838.81 = 10,838.81/x
  3. Step 3: Cross multiply
    5,069.11x = 10,838.81 × 10,838.81
  4. Step 4: Simplify right side
    5,069.11x = 117,479,856.41
  5. Step 5: Solve for x
    x = 117,479,856.41/5,069.11
  6. Step 6: Final answer
    x = 23,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.