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Finding the Third Proportional to 13,794.47 and 21,857.77

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Solution

The third proportional to 13,794.47 and 21,857.77 is: 34,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.47 : 21,857.77 = 21,857.77 : x
  2. Step 2: Convert to fraction form
    13,794.47/21,857.77 = 21,857.77/x
  3. Step 3: Cross multiply
    13,794.47x = 21,857.77 × 21,857.77
  4. Step 4: Simplify right side
    13,794.47x = 477,761,918.12
  5. Step 5: Solve for x
    x = 477,761,918.12/13,794.47
  6. Step 6: Final answer
    x = 34,634.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.