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Finding the Third Proportional to 4,231 and 9,432.50

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Solution

The third proportional to 4,231 and 9,432.50 is: 21,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231 : 9,432.50 = 9,432.50 : x
  2. Step 2: Convert to fraction form
    4,231/9,432.50 = 9,432.50/x
  3. Step 3: Cross multiply
    4,231x = 9,432.50 × 9,432.50
  4. Step 4: Simplify right side
    4,231x = 88,972,056.25
  5. Step 5: Solve for x
    x = 88,972,056.25/4,231
  6. Step 6: Final answer
    x = 21,028.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.