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Finding the Third Proportional to 31,788 and 67,797

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Solution

The third proportional to 31,788 and 67,797 is: 144,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788 : 67,797 = 67,797 : x
  2. Step 2: Convert to fraction form
    31,788/67,797 = 67,797/x
  3. Step 3: Cross multiply
    31,788x = 67,797 × 67,797
  4. Step 4: Simplify right side
    31,788x = 4,596,433,209
  5. Step 5: Solve for x
    x = 4,596,433,209/31,788
  6. Step 6: Final answer
    x = 144,596.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.