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Finding the Third Proportional to 10,213.59 and 22,431.94

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Solution

The third proportional to 10,213.59 and 22,431.94 is: 49,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.59 : 22,431.94 = 22,431.94 : x
  2. Step 2: Convert to fraction form
    10,213.59/22,431.94 = 22,431.94/x
  3. Step 3: Cross multiply
    10,213.59x = 22,431.94 × 22,431.94
  4. Step 4: Simplify right side
    10,213.59x = 503,191,820.00
  5. Step 5: Solve for x
    x = 503,191,820.00/10,213.59
  6. Step 6: Final answer
    x = 49,266.87

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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.