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Finding the Third Proportional to 10,104.50 and 21,958

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Solution

The third proportional to 10,104.50 and 21,958 is: 47,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.50 : 21,958 = 21,958 : x
  2. Step 2: Convert to fraction form
    10,104.50/21,958 = 21,958/x
  3. Step 3: Cross multiply
    10,104.50x = 21,958 × 21,958
  4. Step 4: Simplify right side
    10,104.50x = 482,153,764
  5. Step 5: Solve for x
    x = 482,153,764/10,104.50
  6. Step 6: Final answer
    x = 47,716.74

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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.