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Finding the Third Proportional to 3,468.33 and 7,490.85

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Solution

The third proportional to 3,468.33 and 7,490.85 is: 16,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.33 : 7,490.85 = 7,490.85 : x
  2. Step 2: Convert to fraction form
    3,468.33/7,490.85 = 7,490.85/x
  3. Step 3: Cross multiply
    3,468.33x = 7,490.85 × 7,490.85
  4. Step 4: Simplify right side
    3,468.33x = 56,112,815.07
  5. Step 5: Solve for x
    x = 56,112,815.07/3,468.33
  6. Step 6: Final answer
    x = 16,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.