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Finding the Third Proportional to 14,028.75 and 30,441

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Solution

The third proportional to 14,028.75 and 30,441 is: 66,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.75 : 30,441 = 30,441 : x
  2. Step 2: Convert to fraction form
    14,028.75/30,441 = 30,441/x
  3. Step 3: Cross multiply
    14,028.75x = 30,441 × 30,441
  4. Step 4: Simplify right side
    14,028.75x = 926,654,481
  5. Step 5: Solve for x
    x = 926,654,481/14,028.75
  6. Step 6: Final answer
    x = 66,053.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.