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Finding the Third Proportional to 26,442 and 55,611

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Solution

The third proportional to 26,442 and 55,611 is: 116,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442 : 55,611 = 55,611 : x
  2. Step 2: Convert to fraction form
    26,442/55,611 = 55,611/x
  3. Step 3: Cross multiply
    26,442x = 55,611 × 55,611
  4. Step 4: Simplify right side
    26,442x = 3,092,583,321
  5. Step 5: Solve for x
    x = 3,092,583,321/26,442
  6. Step 6: Final answer
    x = 116,957.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.