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Finding the Third Proportional to 9,676 and 14,791

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Solution

The third proportional to 9,676 and 14,791 is: 22,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 14,791 = 14,791 : x
  2. Step 2: Convert to fraction form
    9,676/14,791 = 14,791/x
  3. Step 3: Cross multiply
    9,676x = 14,791 × 14,791
  4. Step 4: Simplify right side
    9,676x = 218,773,681
  5. Step 5: Solve for x
    x = 218,773,681/9,676
  6. Step 6: Final answer
    x = 22,609.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.