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Finding the Third Proportional to 26,006.06 and 54,654.75

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Solution

The third proportional to 26,006.06 and 54,654.75 is: 114,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.06 : 54,654.75 = 54,654.75 : x
  2. Step 2: Convert to fraction form
    26,006.06/54,654.75 = 54,654.75/x
  3. Step 3: Cross multiply
    26,006.06x = 54,654.75 × 54,654.75
  4. Step 4: Simplify right side
    26,006.06x = 2,987,141,697.56
  5. Step 5: Solve for x
    x = 2,987,141,697.56/26,006.06
  6. Step 6: Final answer
    x = 114,863.28

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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.