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Finding the Third Proportional to 3,447.84 and 7,442.58

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Solution

The third proportional to 3,447.84 and 7,442.58 is: 16,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.84 : 7,442.58 = 7,442.58 : x
  2. Step 2: Convert to fraction form
    3,447.84/7,442.58 = 7,442.58/x
  3. Step 3: Cross multiply
    3,447.84x = 7,442.58 × 7,442.58
  4. Step 4: Simplify right side
    3,447.84x = 55,391,969.15
  5. Step 5: Solve for x
    x = 55,391,969.15/3,447.84
  6. Step 6: Final answer
    x = 16,065.68

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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.