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Finding the Third Proportional to 9,674 and 14,714

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Solution

The third proportional to 9,674 and 14,714 is: 22,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 14,714 = 14,714 : x
  2. Step 2: Convert to fraction form
    9,674/14,714 = 14,714/x
  3. Step 3: Cross multiply
    9,674x = 14,714 × 14,714
  4. Step 4: Simplify right side
    9,674x = 216,501,796
  5. Step 5: Solve for x
    x = 216,501,796/9,674
  6. Step 6: Final answer
    x = 22,379.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.