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Finding the Third Proportional to 7,797 and 17,108

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Solution

The third proportional to 7,797 and 17,108 is: 37,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 17,108 = 17,108 : x
  2. Step 2: Convert to fraction form
    7,797/17,108 = 17,108/x
  3. Step 3: Cross multiply
    7,797x = 17,108 × 17,108
  4. Step 4: Simplify right side
    7,797x = 292,683,664
  5. Step 5: Solve for x
    x = 292,683,664/7,797
  6. Step 6: Final answer
    x = 37,537.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.