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Finding the Third Proportional to 9,676 and 13,076

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Solution

The third proportional to 9,676 and 13,076 is: 17,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 13,076 = 13,076 : x
  2. Step 2: Convert to fraction form
    9,676/13,076 = 13,076/x
  3. Step 3: Cross multiply
    9,676x = 13,076 × 13,076
  4. Step 4: Simplify right side
    9,676x = 170,981,776
  5. Step 5: Solve for x
    x = 170,981,776/9,676
  6. Step 6: Final answer
    x = 17,670.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.