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Finding the Third Proportional to 31,617 and 67,881

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Solution

The third proportional to 31,617 and 67,881 is: 145,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617 : 67,881 = 67,881 : x
  2. Step 2: Convert to fraction form
    31,617/67,881 = 67,881/x
  3. Step 3: Cross multiply
    31,617x = 67,881 × 67,881
  4. Step 4: Simplify right side
    31,617x = 4,607,830,161
  5. Step 5: Solve for x
    x = 4,607,830,161/31,617
  6. Step 6: Final answer
    x = 145,739.01

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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.