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Finding the Third Proportional to 2,160.84 and 2,964.09

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Solution

The third proportional to 2,160.84 and 2,964.09 is: 4,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.84 : 2,964.09 = 2,964.09 : x
  2. Step 2: Convert to fraction form
    2,160.84/2,964.09 = 2,964.09/x
  3. Step 3: Cross multiply
    2,160.84x = 2,964.09 × 2,964.09
  4. Step 4: Simplify right side
    2,160.84x = 8,785,851.76
  5. Step 5: Solve for x
    x = 8,785,851.76/2,160.84
  6. Step 6: Final answer
    x = 4,065.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.