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Finding the Third Proportional to 26,590 and 55,914

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Solution

The third proportional to 26,590 and 55,914 is: 117,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,590 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    26,590/55,914 = 55,914/x
  3. Step 3: Cross multiply
    26,590x = 55,914 × 55,914
  4. Step 4: Simplify right side
    26,590x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/26,590
  6. Step 6: Final answer
    x = 117,577.11

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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.