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Finding the Third Proportional to 34,350 and 73,881

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Solution

The third proportional to 34,350 and 73,881 is: 158,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 73,881 = 73,881 : x
  2. Step 2: Convert to fraction form
    34,350/73,881 = 73,881/x
  3. Step 3: Cross multiply
    34,350x = 73,881 × 73,881
  4. Step 4: Simplify right side
    34,350x = 5,458,402,161
  5. Step 5: Solve for x
    x = 5,458,402,161/34,350
  6. Step 6: Final answer
    x = 158,905.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.