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Finding the Third Proportional to 13,805.44 and 21,425.77

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Solution

The third proportional to 13,805.44 and 21,425.77 is: 33,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.44 : 21,425.77 = 21,425.77 : x
  2. Step 2: Convert to fraction form
    13,805.44/21,425.77 = 21,425.77/x
  3. Step 3: Cross multiply
    13,805.44x = 21,425.77 × 21,425.77
  4. Step 4: Simplify right side
    13,805.44x = 459,063,432.62
  5. Step 5: Solve for x
    x = 459,063,432.62/13,805.44
  6. Step 6: Final answer
    x = 33,252.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.