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Finding the Third Proportional to 10,764.14 and 23,339.39

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Solution

The third proportional to 10,764.14 and 23,339.39 is: 50,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.14 : 23,339.39 = 23,339.39 : x
  2. Step 2: Convert to fraction form
    10,764.14/23,339.39 = 23,339.39/x
  3. Step 3: Cross multiply
    10,764.14x = 23,339.39 × 23,339.39
  4. Step 4: Simplify right side
    10,764.14x = 544,727,154.75
  5. Step 5: Solve for x
    x = 544,727,154.75/10,764.14
  6. Step 6: Final answer
    x = 50,605.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.