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Finding the Third Proportional to 3,843 and 9,025.50

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Solution

The third proportional to 3,843 and 9,025.50 is: 21,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 9,025.50 = 9,025.50 : x
  2. Step 2: Convert to fraction form
    3,843/9,025.50 = 9,025.50/x
  3. Step 3: Cross multiply
    3,843x = 9,025.50 × 9,025.50
  4. Step 4: Simplify right side
    3,843x = 81,459,650.25
  5. Step 5: Solve for x
    x = 81,459,650.25/3,843
  6. Step 6: Final answer
    x = 21,196.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.