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Finding the Third Proportional to 47,535.75 and 96,381

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Solution

The third proportional to 47,535.75 and 96,381 is: 195,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535.75 : 96,381 = 96,381 : x
  2. Step 2: Convert to fraction form
    47,535.75/96,381 = 96,381/x
  3. Step 3: Cross multiply
    47,535.75x = 96,381 × 96,381
  4. Step 4: Simplify right side
    47,535.75x = 9,289,297,161
  5. Step 5: Solve for x
    x = 9,289,297,161/47,535.75
  6. Step 6: Final answer
    x = 195,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.