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Finding the Third Proportional to 6,516.50 and 13,264

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Solution

The third proportional to 6,516.50 and 13,264 is: 26,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.50 : 13,264 = 13,264 : x
  2. Step 2: Convert to fraction form
    6,516.50/13,264 = 13,264/x
  3. Step 3: Cross multiply
    6,516.50x = 13,264 × 13,264
  4. Step 4: Simplify right side
    6,516.50x = 175,933,696
  5. Step 5: Solve for x
    x = 175,933,696/6,516.50
  6. Step 6: Final answer
    x = 26,998.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.