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Finding the Third Proportional to 13,454.86 and 27,581.77

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Solution

The third proportional to 13,454.86 and 27,581.77 is: 56,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.86 : 27,581.77 = 27,581.77 : x
  2. Step 2: Convert to fraction form
    13,454.86/27,581.77 = 27,581.77/x
  3. Step 3: Cross multiply
    13,454.86x = 27,581.77 × 27,581.77
  4. Step 4: Simplify right side
    13,454.86x = 760,753,794.99
  5. Step 5: Solve for x
    x = 760,753,794.99/13,454.86
  6. Step 6: Final answer
    x = 56,541.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.