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Finding the Third Proportional to 3,258.56 and 7,105.22

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Solution

The third proportional to 3,258.56 and 7,105.22 is: 15,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.56 : 7,105.22 = 7,105.22 : x
  2. Step 2: Convert to fraction form
    3,258.56/7,105.22 = 7,105.22/x
  3. Step 3: Cross multiply
    3,258.56x = 7,105.22 × 7,105.22
  4. Step 4: Simplify right side
    3,258.56x = 50,484,133.49
  5. Step 5: Solve for x
    x = 50,484,133.49/3,258.56
  6. Step 6: Final answer
    x = 15,492.76

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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.