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Finding the Third Proportional to 26,006.25 and 53,244.75

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Solution

The third proportional to 26,006.25 and 53,244.75 is: 109,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.25 : 53,244.75 = 53,244.75 : x
  2. Step 2: Convert to fraction form
    26,006.25/53,244.75 = 53,244.75/x
  3. Step 3: Cross multiply
    26,006.25x = 53,244.75 × 53,244.75
  4. Step 4: Simplify right side
    26,006.25x = 2,835,003,402.56
  5. Step 5: Solve for x
    x = 2,835,003,402.56/26,006.25
  6. Step 6: Final answer
    x = 109,012.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.