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Finding the Third Proportional to 35,697 and 66,108

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Solution

The third proportional to 35,697 and 66,108 is: 122,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697 : 66,108 = 66,108 : x
  2. Step 2: Convert to fraction form
    35,697/66,108 = 66,108/x
  3. Step 3: Cross multiply
    35,697x = 66,108 × 66,108
  4. Step 4: Simplify right side
    35,697x = 4,370,267,664
  5. Step 5: Solve for x
    x = 4,370,267,664/35,697
  6. Step 6: Final answer
    x = 122,426.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.