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Finding the Third Proportional to 8,159.06 and 11,453.06

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Solution

The third proportional to 8,159.06 and 11,453.06 is: 16,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.06 : 11,453.06 = 11,453.06 : x
  2. Step 2: Convert to fraction form
    8,159.06/11,453.06 = 11,453.06/x
  3. Step 3: Cross multiply
    8,159.06x = 11,453.06 × 11,453.06
  4. Step 4: Simplify right side
    8,159.06x = 131,172,640.63
  5. Step 5: Solve for x
    x = 131,172,640.63/8,159.06
  6. Step 6: Final answer
    x = 16,076.93

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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.