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Finding the Third Proportional to 10,079.44 and 22,172.06

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Solution

The third proportional to 10,079.44 and 22,172.06 is: 48,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.44 : 22,172.06 = 22,172.06 : x
  2. Step 2: Convert to fraction form
    10,079.44/22,172.06 = 22,172.06/x
  3. Step 3: Cross multiply
    10,079.44x = 22,172.06 × 22,172.06
  4. Step 4: Simplify right side
    10,079.44x = 491,600,355.50
  5. Step 5: Solve for x
    x = 491,600,355.50/10,079.44
  6. Step 6: Final answer
    x = 48,772.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.