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Finding the Third Proportional to 26,002.69 and 53,235.56

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Solution

The third proportional to 26,002.69 and 53,235.56 is: 108,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002.69 : 53,235.56 = 53,235.56 : x
  2. Step 2: Convert to fraction form
    26,002.69/53,235.56 = 53,235.56/x
  3. Step 3: Cross multiply
    26,002.69x = 53,235.56 × 53,235.56
  4. Step 4: Simplify right side
    26,002.69x = 2,834,025,114.69
  5. Step 5: Solve for x
    x = 2,834,025,114.69/26,002.69
  6. Step 6: Final answer
    x = 108,989.70

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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.