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Finding the Third Proportional to 12,018.38 and 27,664.88

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Solution

The third proportional to 12,018.38 and 27,664.88 is: 63,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.38 : 27,664.88 = 27,664.88 : x
  2. Step 2: Convert to fraction form
    12,018.38/27,664.88 = 27,664.88/x
  3. Step 3: Cross multiply
    12,018.38x = 27,664.88 × 27,664.88
  4. Step 4: Simplify right side
    12,018.38x = 765,345,308.77
  5. Step 5: Solve for x
    x = 765,345,308.77/12,018.38
  6. Step 6: Final answer
    x = 63,681.26

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.