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Finding the Third Proportional to 5,889.38 and 12,801.94

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Solution

The third proportional to 5,889.38 and 12,801.94 is: 27,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.38 : 12,801.94 = 12,801.94 : x
  2. Step 2: Convert to fraction form
    5,889.38/12,801.94 = 12,801.94/x
  3. Step 3: Cross multiply
    5,889.38x = 12,801.94 × 12,801.94
  4. Step 4: Simplify right side
    5,889.38x = 163,889,603.75
  5. Step 5: Solve for x
    x = 163,889,603.75/5,889.38
  6. Step 6: Final answer
    x = 27,828.01

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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.