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Finding the Third Proportional to 10,773.75 and 22,851.94

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Solution

The third proportional to 10,773.75 and 22,851.94 is: 48,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.75 : 22,851.94 = 22,851.94 : x
  2. Step 2: Convert to fraction form
    10,773.75/22,851.94 = 22,851.94/x
  3. Step 3: Cross multiply
    10,773.75x = 22,851.94 × 22,851.94
  4. Step 4: Simplify right side
    10,773.75x = 522,211,047.50
  5. Step 5: Solve for x
    x = 522,211,047.50/10,773.75
  6. Step 6: Final answer
    x = 48,470.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.