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Finding the Third Proportional to 20,229.75 and 23,037.75

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Solution

The third proportional to 20,229.75 and 23,037.75 is: 26,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 23,037.75 = 23,037.75 : x
  2. Step 2: Convert to fraction form
    20,229.75/23,037.75 = 23,037.75/x
  3. Step 3: Cross multiply
    20,229.75x = 23,037.75 × 23,037.75
  4. Step 4: Simplify right side
    20,229.75x = 530,737,925.06
  5. Step 5: Solve for x
    x = 530,737,925.06/20,229.75
  6. Step 6: Final answer
    x = 26,235.52

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.