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Finding the Third Proportional to 3,517.57 and 6,516.15

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Solution

The third proportional to 3,517.57 and 6,516.15 is: 12,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.57 : 6,516.15 = 6,516.15 : x
  2. Step 2: Convert to fraction form
    3,517.57/6,516.15 = 6,516.15/x
  3. Step 3: Cross multiply
    3,517.57x = 6,516.15 × 6,516.15
  4. Step 4: Simplify right side
    3,517.57x = 42,460,203.19
  5. Step 5: Solve for x
    x = 42,460,203.19/3,517.57
  6. Step 6: Final answer
    x = 12,070.90

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.