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Finding the Third Proportional to 31,333 and 67,859

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Solution

The third proportional to 31,333 and 67,859 is: 146,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333 : 67,859 = 67,859 : x
  2. Step 2: Convert to fraction form
    31,333/67,859 = 67,859/x
  3. Step 3: Cross multiply
    31,333x = 67,859 × 67,859
  4. Step 4: Simplify right side
    31,333x = 4,604,843,881
  5. Step 5: Solve for x
    x = 4,604,843,881/31,333
  6. Step 6: Final answer
    x = 146,964.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.