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Finding the Third Proportional to 3,307.87 and 7,095.41

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Solution

The third proportional to 3,307.87 and 7,095.41 is: 15,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.87 : 7,095.41 = 7,095.41 : x
  2. Step 2: Convert to fraction form
    3,307.87/7,095.41 = 7,095.41/x
  3. Step 3: Cross multiply
    3,307.87x = 7,095.41 × 7,095.41
  4. Step 4: Simplify right side
    3,307.87x = 50,344,845.29
  5. Step 5: Solve for x
    x = 50,344,845.29/3,307.87
  6. Step 6: Final answer
    x = 15,219.72

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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.