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Finding the Third Proportional to 2,964 and 6,870

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Solution

The third proportional to 2,964 and 6,870 is: 15,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 6,870 = 6,870 : x
  2. Step 2: Convert to fraction form
    2,964/6,870 = 6,870/x
  3. Step 3: Cross multiply
    2,964x = 6,870 × 6,870
  4. Step 4: Simplify right side
    2,964x = 47,196,900
  5. Step 5: Solve for x
    x = 47,196,900/2,964
  6. Step 6: Final answer
    x = 15,923.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.