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Finding the Third Proportional to 35,611 and 55,115

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Solution

The third proportional to 35,611 and 55,115 is: 85,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,611 : 55,115 = 55,115 : x
  2. Step 2: Convert to fraction form
    35,611/55,115 = 55,115/x
  3. Step 3: Cross multiply
    35,611x = 55,115 × 55,115
  4. Step 4: Simplify right side
    35,611x = 3,037,663,225
  5. Step 5: Solve for x
    x = 3,037,663,225/35,611
  6. Step 6: Final answer
    x = 85,301.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.