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Finding the Third Proportional to 8,452.13 and 13,258.41

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Solution

The third proportional to 8,452.13 and 13,258.41 is: 20,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.13 : 13,258.41 = 13,258.41 : x
  2. Step 2: Convert to fraction form
    8,452.13/13,258.41 = 13,258.41/x
  3. Step 3: Cross multiply
    8,452.13x = 13,258.41 × 13,258.41
  4. Step 4: Simplify right side
    8,452.13x = 175,785,336.29
  5. Step 5: Solve for x
    x = 175,785,336.29/8,452.13
  6. Step 6: Final answer
    x = 20,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.