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Finding the Third Proportional to 10,708.88 and 23,062.22

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Solution

The third proportional to 10,708.88 and 23,062.22 is: 49,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.88 : 23,062.22 = 23,062.22 : x
  2. Step 2: Convert to fraction form
    10,708.88/23,062.22 = 23,062.22/x
  3. Step 3: Cross multiply
    10,708.88x = 23,062.22 × 23,062.22
  4. Step 4: Simplify right side
    10,708.88x = 531,865,933.67
  5. Step 5: Solve for x
    x = 531,865,933.67/10,708.88
  6. Step 6: Final answer
    x = 49,665.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.