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Finding the Third Proportional to 13,091.63 and 27,899.44

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Solution

The third proportional to 13,091.63 and 27,899.44 is: 59,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.63 : 27,899.44 = 27,899.44 : x
  2. Step 2: Convert to fraction form
    13,091.63/27,899.44 = 27,899.44/x
  3. Step 3: Cross multiply
    13,091.63x = 27,899.44 × 27,899.44
  4. Step 4: Simplify right side
    13,091.63x = 778,378,612.82
  5. Step 5: Solve for x
    x = 778,378,612.82/13,091.63
  6. Step 6: Final answer
    x = 59,456.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.