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Finding the Third Proportional to 45,408 and 96,384

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Solution

The third proportional to 45,408 and 96,384 is: 204,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 96,384 = 96,384 : x
  2. Step 2: Convert to fraction form
    45,408/96,384 = 96,384/x
  3. Step 3: Cross multiply
    45,408x = 96,384 × 96,384
  4. Step 4: Simplify right side
    45,408x = 9,289,875,456
  5. Step 5: Solve for x
    x = 9,289,875,456/45,408
  6. Step 6: Final answer
    x = 204,586.76

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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.