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Finding the Third Proportional to 3,713.91 and 8,258.06

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Solution

The third proportional to 3,713.91 and 8,258.06 is: 18,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.91 : 8,258.06 = 8,258.06 : x
  2. Step 2: Convert to fraction form
    3,713.91/8,258.06 = 8,258.06/x
  3. Step 3: Cross multiply
    3,713.91x = 8,258.06 × 8,258.06
  4. Step 4: Simplify right side
    3,713.91x = 68,195,596.25
  5. Step 5: Solve for x
    x = 68,195,596.25/3,713.91
  6. Step 6: Final answer
    x = 18,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.