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Finding the Third Proportional to 10,181.81 and 22,003.88

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Solution

The third proportional to 10,181.81 and 22,003.88 is: 47,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.81 : 22,003.88 = 22,003.88 : x
  2. Step 2: Convert to fraction form
    10,181.81/22,003.88 = 22,003.88/x
  3. Step 3: Cross multiply
    10,181.81x = 22,003.88 × 22,003.88
  4. Step 4: Simplify right side
    10,181.81x = 484,170,515.02
  5. Step 5: Solve for x
    x = 484,170,515.02/10,181.81
  6. Step 6: Final answer
    x = 47,552.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.