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Finding the Third Proportional to 8,211 and 8,931

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Solution

The third proportional to 8,211 and 8,931 is: 9,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 8,931 = 8,931 : x
  2. Step 2: Convert to fraction form
    8,211/8,931 = 8,931/x
  3. Step 3: Cross multiply
    8,211x = 8,931 × 8,931
  4. Step 4: Simplify right side
    8,211x = 79,762,761
  5. Step 5: Solve for x
    x = 79,762,761/8,211
  6. Step 6: Final answer
    x = 9,714.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.