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Finding the Third Proportional to 13,774.22 and 20,458.83

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Solution

The third proportional to 13,774.22 and 20,458.83 is: 30,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.22 : 20,458.83 = 20,458.83 : x
  2. Step 2: Convert to fraction form
    13,774.22/20,458.83 = 20,458.83/x
  3. Step 3: Cross multiply
    13,774.22x = 20,458.83 × 20,458.83
  4. Step 4: Simplify right side
    13,774.22x = 418,563,648.25
  5. Step 5: Solve for x
    x = 418,563,648.25/13,774.22
  6. Step 6: Final answer
    x = 30,387.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.