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Finding the Third Proportional to 23,355 and 35,898.75

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Solution

The third proportional to 23,355 and 35,898.75 is: 55,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 35,898.75 = 35,898.75 : x
  2. Step 2: Convert to fraction form
    23,355/35,898.75 = 35,898.75/x
  3. Step 3: Cross multiply
    23,355x = 35,898.75 × 35,898.75
  4. Step 4: Simplify right side
    23,355x = 1,288,720,251.56
  5. Step 5: Solve for x
    x = 1,288,720,251.56/23,355
  6. Step 6: Final answer
    x = 55,179.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.