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Finding the Third Proportional to 26,069 and 55,829

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Solution

The third proportional to 26,069 and 55,829 is: 119,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,069 : 55,829 = 55,829 : x
  2. Step 2: Convert to fraction form
    26,069/55,829 = 55,829/x
  3. Step 3: Cross multiply
    26,069x = 55,829 × 55,829
  4. Step 4: Simplify right side
    26,069x = 3,116,877,241
  5. Step 5: Solve for x
    x = 3,116,877,241/26,069
  6. Step 6: Final answer
    x = 119,562.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.