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Finding the Third Proportional to 2,912 and 6,707

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Solution

The third proportional to 2,912 and 6,707 is: 15,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 6,707 = 6,707 : x
  2. Step 2: Convert to fraction form
    2,912/6,707 = 6,707/x
  3. Step 3: Cross multiply
    2,912x = 6,707 × 6,707
  4. Step 4: Simplify right side
    2,912x = 44,983,849
  5. Step 5: Solve for x
    x = 44,983,849/2,912
  6. Step 6: Final answer
    x = 15,447.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.