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Finding the Third Proportional to 47,366 and 63,191

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Solution

The third proportional to 47,366 and 63,191 is: 84,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,366 : 63,191 = 63,191 : x
  2. Step 2: Convert to fraction form
    47,366/63,191 = 63,191/x
  3. Step 3: Cross multiply
    47,366x = 63,191 × 63,191
  4. Step 4: Simplify right side
    47,366x = 3,993,102,481
  5. Step 5: Solve for x
    x = 3,993,102,481/47,366
  6. Step 6: Final answer
    x = 84,303.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.