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Finding the Third Proportional to 14,142.38 and 27,927.63

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Solution

The third proportional to 14,142.38 and 27,927.63 is: 55,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.38 : 27,927.63 = 27,927.63 : x
  2. Step 2: Convert to fraction form
    14,142.38/27,927.63 = 27,927.63/x
  3. Step 3: Cross multiply
    14,142.38x = 27,927.63 × 27,927.63
  4. Step 4: Simplify right side
    14,142.38x = 779,952,238.14
  5. Step 5: Solve for x
    x = 779,952,238.14/14,142.38
  6. Step 6: Final answer
    x = 55,150.02

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.