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Finding the Third Proportional to 4,785.75 and 12,997.13

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Solution

The third proportional to 4,785.75 and 12,997.13 is: 35,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.75 : 12,997.13 = 12,997.13 : x
  2. Step 2: Convert to fraction form
    4,785.75/12,997.13 = 12,997.13/x
  3. Step 3: Cross multiply
    4,785.75x = 12,997.13 × 12,997.13
  4. Step 4: Simplify right side
    4,785.75x = 168,925,258.27
  5. Step 5: Solve for x
    x = 168,925,258.27/4,785.75
  6. Step 6: Final answer
    x = 35,297.55

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.