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Finding the Third Proportional to 26,003.75 and 53,239.88

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Solution

The third proportional to 26,003.75 and 53,239.88 is: 109,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003.75 : 53,239.88 = 53,239.88 : x
  2. Step 2: Convert to fraction form
    26,003.75/53,239.88 = 53,239.88/x
  3. Step 3: Cross multiply
    26,003.75x = 53,239.88 × 53,239.88
  4. Step 4: Simplify right side
    26,003.75x = 2,834,484,290.02
  5. Step 5: Solve for x
    x = 2,834,484,290.02/26,003.75
  6. Step 6: Final answer
    x = 109,002.90

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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.