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Finding the Third Proportional to 4,015.41 and 8,516.81

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Solution

The third proportional to 4,015.41 and 8,516.81 is: 18,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.41 : 8,516.81 = 8,516.81 : x
  2. Step 2: Convert to fraction form
    4,015.41/8,516.81 = 8,516.81/x
  3. Step 3: Cross multiply
    4,015.41x = 8,516.81 × 8,516.81
  4. Step 4: Simplify right side
    4,015.41x = 72,536,095.16
  5. Step 5: Solve for x
    x = 72,536,095.16/4,015.41
  6. Step 6: Final answer
    x = 18,064.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.