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Finding the Third Proportional to 7,845 and 17,269.50

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Solution

The third proportional to 7,845 and 17,269.50 is: 38,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 17,269.50 = 17,269.50 : x
  2. Step 2: Convert to fraction form
    7,845/17,269.50 = 17,269.50/x
  3. Step 3: Cross multiply
    7,845x = 17,269.50 × 17,269.50
  4. Step 4: Simplify right side
    7,845x = 298,235,630.25
  5. Step 5: Solve for x
    x = 298,235,630.25/7,845
  6. Step 6: Final answer
    x = 38,016.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.