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Finding the Third Proportional to 7,778 and 16,108

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Solution

The third proportional to 7,778 and 16,108 is: 33,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 16,108 = 16,108 : x
  2. Step 2: Convert to fraction form
    7,778/16,108 = 16,108/x
  3. Step 3: Cross multiply
    7,778x = 16,108 × 16,108
  4. Step 4: Simplify right side
    7,778x = 259,467,664
  5. Step 5: Solve for x
    x = 259,467,664/7,778
  6. Step 6: Final answer
    x = 33,359.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.