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Finding the Third Proportional to 35,961 and 55,834

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Solution

The third proportional to 35,961 and 55,834 is: 86,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,961 : 55,834 = 55,834 : x
  2. Step 2: Convert to fraction form
    35,961/55,834 = 55,834/x
  3. Step 3: Cross multiply
    35,961x = 55,834 × 55,834
  4. Step 4: Simplify right side
    35,961x = 3,117,435,556
  5. Step 5: Solve for x
    x = 3,117,435,556/35,961
  6. Step 6: Final answer
    x = 86,689.35

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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.