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Finding the Third Proportional to 6,972 and 14,931

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Solution

The third proportional to 6,972 and 14,931 is: 31,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 14,931 = 14,931 : x
  2. Step 2: Convert to fraction form
    6,972/14,931 = 14,931/x
  3. Step 3: Cross multiply
    6,972x = 14,931 × 14,931
  4. Step 4: Simplify right side
    6,972x = 222,934,761
  5. Step 5: Solve for x
    x = 222,934,761/6,972
  6. Step 6: Final answer
    x = 31,975.73

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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.