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Finding the Third Proportional to 12,814.88 and 27,815.63

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Solution

The third proportional to 12,814.88 and 27,815.63 is: 60,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.88 : 27,815.63 = 27,815.63 : x
  2. Step 2: Convert to fraction form
    12,814.88/27,815.63 = 27,815.63/x
  3. Step 3: Cross multiply
    12,814.88x = 27,815.63 × 27,815.63
  4. Step 4: Simplify right side
    12,814.88x = 773,708,994.14
  5. Step 5: Solve for x
    x = 773,708,994.14/12,814.88
  6. Step 6: Final answer
    x = 60,375.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.