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Finding the Third Proportional to 4,221.50 and 9,253

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Solution

The third proportional to 4,221.50 and 9,253 is: 20,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.50 : 9,253 = 9,253 : x
  2. Step 2: Convert to fraction form
    4,221.50/9,253 = 9,253/x
  3. Step 3: Cross multiply
    4,221.50x = 9,253 × 9,253
  4. Step 4: Simplify right side
    4,221.50x = 85,618,009
  5. Step 5: Solve for x
    x = 85,618,009/4,221.50
  6. Step 6: Final answer
    x = 20,281.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.