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Finding the Third Proportional to 3,551.45 and 5,258.46

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Solution

The third proportional to 3,551.45 and 5,258.46 is: 7,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.45 : 5,258.46 = 5,258.46 : x
  2. Step 2: Convert to fraction form
    3,551.45/5,258.46 = 5,258.46/x
  3. Step 3: Cross multiply
    3,551.45x = 5,258.46 × 5,258.46
  4. Step 4: Simplify right side
    3,551.45x = 27,651,411.43
  5. Step 5: Solve for x
    x = 27,651,411.43/3,551.45
  6. Step 6: Final answer
    x = 7,785.95

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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.