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Finding the Third Proportional to 13,699.13 and 21,027.09

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Solution

The third proportional to 13,699.13 and 21,027.09 is: 32,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.13 : 21,027.09 = 21,027.09 : x
  2. Step 2: Convert to fraction form
    13,699.13/21,027.09 = 21,027.09/x
  3. Step 3: Cross multiply
    13,699.13x = 21,027.09 × 21,027.09
  4. Step 4: Simplify right side
    13,699.13x = 442,138,671.57
  5. Step 5: Solve for x
    x = 442,138,671.57/13,699.13
  6. Step 6: Final answer
    x = 32,274.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.