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Finding the Third Proportional to 3,116.60 and 6,696.42

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Solution

The third proportional to 3,116.60 and 6,696.42 is: 14,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.60 : 6,696.42 = 6,696.42 : x
  2. Step 2: Convert to fraction form
    3,116.60/6,696.42 = 6,696.42/x
  3. Step 3: Cross multiply
    3,116.60x = 6,696.42 × 6,696.42
  4. Step 4: Simplify right side
    3,116.60x = 44,842,065.93
  5. Step 5: Solve for x
    x = 44,842,065.93/3,116.60
  6. Step 6: Final answer
    x = 14,388.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.