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Finding the Third Proportional to 5,140.97 and 6,993.84

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Solution

The third proportional to 5,140.97 and 6,993.84 is: 9,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.97 : 6,993.84 = 6,993.84 : x
  2. Step 2: Convert to fraction form
    5,140.97/6,993.84 = 6,993.84/x
  3. Step 3: Cross multiply
    5,140.97x = 6,993.84 × 6,993.84
  4. Step 4: Simplify right side
    5,140.97x = 48,913,850.40
  5. Step 5: Solve for x
    x = 48,913,850.40/5,140.97
  6. Step 6: Final answer
    x = 9,514.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.