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Finding the Third Proportional to 2,160.84 and 3,069.14

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Solution

The third proportional to 2,160.84 and 3,069.14 is: 4,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.84 : 3,069.14 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    2,160.84/3,069.14 = 3,069.14/x
  3. Step 3: Cross multiply
    2,160.84x = 3,069.14 × 3,069.14
  4. Step 4: Simplify right side
    2,160.84x = 9,419,624.18
  5. Step 5: Solve for x
    x = 9,419,624.18/2,160.84
  6. Step 6: Final answer
    x = 4,359.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.