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Finding the Third Proportional to 3,551.66 and 5,258.67

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Solution

The third proportional to 3,551.66 and 5,258.67 is: 7,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.66 : 5,258.67 = 5,258.67 : x
  2. Step 2: Convert to fraction form
    3,551.66/5,258.67 = 5,258.67/x
  3. Step 3: Cross multiply
    3,551.66x = 5,258.67 × 5,258.67
  4. Step 4: Simplify right side
    3,551.66x = 27,653,629.89
  5. Step 5: Solve for x
    x = 27,653,629.89/3,551.66
  6. Step 6: Final answer
    x = 7,786.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.