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Finding the Third Proportional to 4,420.41 and 9,199.83

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Solution

The third proportional to 4,420.41 and 9,199.83 is: 19,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.41 : 9,199.83 = 9,199.83 : x
  2. Step 2: Convert to fraction form
    4,420.41/9,199.83 = 9,199.83/x
  3. Step 3: Cross multiply
    4,420.41x = 9,199.83 × 9,199.83
  4. Step 4: Simplify right side
    4,420.41x = 84,636,837.53
  5. Step 5: Solve for x
    x = 84,636,837.53/4,420.41
  6. Step 6: Final answer
    x = 19,146.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.