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Finding the Third Proportional to 11,809.13 and 16,513.88

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Solution

The third proportional to 11,809.13 and 16,513.88 is: 23,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.13 : 16,513.88 = 16,513.88 : x
  2. Step 2: Convert to fraction form
    11,809.13/16,513.88 = 16,513.88/x
  3. Step 3: Cross multiply
    11,809.13x = 16,513.88 × 16,513.88
  4. Step 4: Simplify right side
    11,809.13x = 272,708,067.52
  5. Step 5: Solve for x
    x = 272,708,067.52/11,809.13
  6. Step 6: Final answer
    x = 23,093.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.