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Finding the Third Proportional to 7,516.13 and 12,863.81

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Solution

The third proportional to 7,516.13 and 12,863.81 is: 22,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.13 : 12,863.81 = 12,863.81 : x
  2. Step 2: Convert to fraction form
    7,516.13/12,863.81 = 12,863.81/x
  3. Step 3: Cross multiply
    7,516.13x = 12,863.81 × 12,863.81
  4. Step 4: Simplify right side
    7,516.13x = 165,477,672.04
  5. Step 5: Solve for x
    x = 165,477,672.04/7,516.13
  6. Step 6: Final answer
    x = 22,016.35

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.