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Finding the Third Proportional to 12,714.75 and 27,690.38

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Solution

The third proportional to 12,714.75 and 27,690.38 is: 60,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.75 : 27,690.38 = 27,690.38 : x
  2. Step 2: Convert to fraction form
    12,714.75/27,690.38 = 27,690.38/x
  3. Step 3: Cross multiply
    12,714.75x = 27,690.38 × 27,690.38
  4. Step 4: Simplify right side
    12,714.75x = 766,756,867.64
  5. Step 5: Solve for x
    x = 766,756,867.64/12,714.75
  6. Step 6: Final answer
    x = 60,304.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.