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Finding the Third Proportional to 13,722.75 and 22,291.88

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Solution

The third proportional to 13,722.75 and 22,291.88 is: 36,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.75 : 22,291.88 = 22,291.88 : x
  2. Step 2: Convert to fraction form
    13,722.75/22,291.88 = 22,291.88/x
  3. Step 3: Cross multiply
    13,722.75x = 22,291.88 × 22,291.88
  4. Step 4: Simplify right side
    13,722.75x = 496,927,691.02
  5. Step 5: Solve for x
    x = 496,927,691.02/13,722.75
  6. Step 6: Final answer
    x = 36,211.96

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.