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Finding the Third Proportional to 14,249 and 30,441

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Solution

The third proportional to 14,249 and 30,441 is: 65,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249 : 30,441 = 30,441 : x
  2. Step 2: Convert to fraction form
    14,249/30,441 = 30,441/x
  3. Step 3: Cross multiply
    14,249x = 30,441 × 30,441
  4. Step 4: Simplify right side
    14,249x = 926,654,481
  5. Step 5: Solve for x
    x = 926,654,481/14,249
  6. Step 6: Final answer
    x = 65,032.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.