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Finding the Third Proportional to 47,473 and 73,802

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Solution

The third proportional to 47,473 and 73,802 is: 114,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473 : 73,802 = 73,802 : x
  2. Step 2: Convert to fraction form
    47,473/73,802 = 73,802/x
  3. Step 3: Cross multiply
    47,473x = 73,802 × 73,802
  4. Step 4: Simplify right side
    47,473x = 5,446,735,204
  5. Step 5: Solve for x
    x = 5,446,735,204/47,473
  6. Step 6: Final answer
    x = 114,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.