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Finding the Third Proportional to 2,964 and 4,209

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Solution

The third proportional to 2,964 and 4,209 is: 5,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 4,209 = 4,209 : x
  2. Step 2: Convert to fraction form
    2,964/4,209 = 4,209/x
  3. Step 3: Cross multiply
    2,964x = 4,209 × 4,209
  4. Step 4: Simplify right side
    2,964x = 17,715,681
  5. Step 5: Solve for x
    x = 17,715,681/2,964
  6. Step 6: Final answer
    x = 5,976.95

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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.