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Finding the Third Proportional to 31,808 and 68,854

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Solution

The third proportional to 31,808 and 68,854 is: 149,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 68,854 = 68,854 : x
  2. Step 2: Convert to fraction form
    31,808/68,854 = 68,854/x
  3. Step 3: Cross multiply
    31,808x = 68,854 × 68,854
  4. Step 4: Simplify right side
    31,808x = 4,740,873,316
  5. Step 5: Solve for x
    x = 4,740,873,316/31,808
  6. Step 6: Final answer
    x = 149,046.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.