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Finding the Third Proportional to 1,385.16 and 2,964.94

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Solution

The third proportional to 1,385.16 and 2,964.94 is: 6,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 2,964.94 = 2,964.94 : x
  2. Step 2: Convert to fraction form
    1,385.16/2,964.94 = 2,964.94/x
  3. Step 3: Cross multiply
    1,385.16x = 2,964.94 × 2,964.94
  4. Step 4: Simplify right side
    1,385.16x = 8,790,854.38
  5. Step 5: Solve for x
    x = 8,790,854.38/1,385.16
  6. Step 6: Final answer
    x = 6,346.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.