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Finding the Third Proportional to 8,441 and 19,541

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Solution

The third proportional to 8,441 and 19,541 is: 45,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 19,541 = 19,541 : x
  2. Step 2: Convert to fraction form
    8,441/19,541 = 19,541/x
  3. Step 3: Cross multiply
    8,441x = 19,541 × 19,541
  4. Step 4: Simplify right side
    8,441x = 381,850,681
  5. Step 5: Solve for x
    x = 381,850,681/8,441
  6. Step 6: Final answer
    x = 45,237.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.