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Finding the Third Proportional to 1,551.97 and 3,283.35

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Solution

The third proportional to 1,551.97 and 3,283.35 is: 6,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.97 : 3,283.35 = 3,283.35 : x
  2. Step 2: Convert to fraction form
    1,551.97/3,283.35 = 3,283.35/x
  3. Step 3: Cross multiply
    1,551.97x = 3,283.35 × 3,283.35
  4. Step 4: Simplify right side
    1,551.97x = 10,780,371.83
  5. Step 5: Solve for x
    x = 10,780,371.83/1,551.97
  6. Step 6: Final answer
    x = 6,946.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.