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Finding the Third Proportional to 7,188.50 and 15,241

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Solution

The third proportional to 7,188.50 and 15,241 is: 32,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.50 : 15,241 = 15,241 : x
  2. Step 2: Convert to fraction form
    7,188.50/15,241 = 15,241/x
  3. Step 3: Cross multiply
    7,188.50x = 15,241 × 15,241
  4. Step 4: Simplify right side
    7,188.50x = 232,288,081
  5. Step 5: Solve for x
    x = 232,288,081/7,188.50
  6. Step 6: Final answer
    x = 32,313.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.