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Finding the Third Proportional to 5,785.73 and 12,628.64

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Solution

The third proportional to 5,785.73 and 12,628.64 is: 27,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.73 : 12,628.64 = 12,628.64 : x
  2. Step 2: Convert to fraction form
    5,785.73/12,628.64 = 12,628.64/x
  3. Step 3: Cross multiply
    5,785.73x = 12,628.64 × 12,628.64
  4. Step 4: Simplify right side
    5,785.73x = 159,482,638.03
  5. Step 5: Solve for x
    x = 159,482,638.03/5,785.73
  6. Step 6: Final answer
    x = 27,564.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.