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Finding the Third Proportional to 9,772 and 11,716

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Solution

The third proportional to 9,772 and 11,716 is: 14,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 11,716 = 11,716 : x
  2. Step 2: Convert to fraction form
    9,772/11,716 = 11,716/x
  3. Step 3: Cross multiply
    9,772x = 11,716 × 11,716
  4. Step 4: Simplify right side
    9,772x = 137,264,656
  5. Step 5: Solve for x
    x = 137,264,656/9,772
  6. Step 6: Final answer
    x = 14,046.73

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.