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Finding the Third Proportional to 34,655 and 55,093

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Solution

The third proportional to 34,655 and 55,093 is: 87,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655 : 55,093 = 55,093 : x
  2. Step 2: Convert to fraction form
    34,655/55,093 = 55,093/x
  3. Step 3: Cross multiply
    34,655x = 55,093 × 55,093
  4. Step 4: Simplify right side
    34,655x = 3,035,238,649
  5. Step 5: Solve for x
    x = 3,035,238,649/34,655
  6. Step 6: Final answer
    x = 87,584.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.