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Finding the Third Proportional to 4,367 and 9,225.50

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Solution

The third proportional to 4,367 and 9,225.50 is: 19,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367 : 9,225.50 = 9,225.50 : x
  2. Step 2: Convert to fraction form
    4,367/9,225.50 = 9,225.50/x
  3. Step 3: Cross multiply
    4,367x = 9,225.50 × 9,225.50
  4. Step 4: Simplify right side
    4,367x = 85,109,850.25
  5. Step 5: Solve for x
    x = 85,109,850.25/4,367
  6. Step 6: Final answer
    x = 19,489.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.