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Finding the Third Proportional to 5,530.78 and 7,095.09

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Solution

The third proportional to 5,530.78 and 7,095.09 is: 9,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.78 : 7,095.09 = 7,095.09 : x
  2. Step 2: Convert to fraction form
    5,530.78/7,095.09 = 7,095.09/x
  3. Step 3: Cross multiply
    5,530.78x = 7,095.09 × 7,095.09
  4. Step 4: Simplify right side
    5,530.78x = 50,340,355.32
  5. Step 5: Solve for x
    x = 50,340,355.32/5,530.78
  6. Step 6: Final answer
    x = 9,101.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.