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Finding the Third Proportional to 33,447 and 73,113

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Solution

The third proportional to 33,447 and 73,113 is: 159,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447 : 73,113 = 73,113 : x
  2. Step 2: Convert to fraction form
    33,447/73,113 = 73,113/x
  3. Step 3: Cross multiply
    33,447x = 73,113 × 73,113
  4. Step 4: Simplify right side
    33,447x = 5,345,510,769
  5. Step 5: Solve for x
    x = 5,345,510,769/33,447
  6. Step 6: Final answer
    x = 159,820.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.