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Finding the Third Proportional to 6,920 and 14,678

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Solution

The third proportional to 6,920 and 14,678 is: 31,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920 : 14,678 = 14,678 : x
  2. Step 2: Convert to fraction form
    6,920/14,678 = 14,678/x
  3. Step 3: Cross multiply
    6,920x = 14,678 × 14,678
  4. Step 4: Simplify right side
    6,920x = 215,443,684
  5. Step 5: Solve for x
    x = 215,443,684/6,920
  6. Step 6: Final answer
    x = 31,133.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.