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Finding the Third Proportional to 23,785.52 and 51,671.67

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Solution

The third proportional to 23,785.52 and 51,671.67 is: 112,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.52 : 51,671.67 = 51,671.67 : x
  2. Step 2: Convert to fraction form
    23,785.52/51,671.67 = 51,671.67/x
  3. Step 3: Cross multiply
    23,785.52x = 51,671.67 × 51,671.67
  4. Step 4: Simplify right side
    23,785.52x = 2,669,961,674.36
  5. Step 5: Solve for x
    x = 2,669,961,674.36/23,785.52
  6. Step 6: Final answer
    x = 112,251.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.