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Finding the Third Proportional to 26,306 and 55,897

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Solution

The third proportional to 26,306 and 55,897 is: 118,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306 : 55,897 = 55,897 : x
  2. Step 2: Convert to fraction form
    26,306/55,897 = 55,897/x
  3. Step 3: Cross multiply
    26,306x = 55,897 × 55,897
  4. Step 4: Simplify right side
    26,306x = 3,124,474,609
  5. Step 5: Solve for x
    x = 3,124,474,609/26,306
  6. Step 6: Final answer
    x = 118,774.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.