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Finding the Third Proportional to 2,016.14 and 2,972.95

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Solution

The third proportional to 2,016.14 and 2,972.95 is: 4,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 2,972.95 = 2,972.95 : x
  2. Step 2: Convert to fraction form
    2,016.14/2,972.95 = 2,972.95/x
  3. Step 3: Cross multiply
    2,016.14x = 2,972.95 × 2,972.95
  4. Step 4: Simplify right side
    2,016.14x = 8,838,450.28
  5. Step 5: Solve for x
    x = 8,838,450.28/2,016.14
  6. Step 6: Final answer
    x = 4,383.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.