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Finding the Third Proportional to 11,468.75 and 16,150.63

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Solution

The third proportional to 11,468.75 and 16,150.63 is: 22,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.75 : 16,150.63 = 16,150.63 : x
  2. Step 2: Convert to fraction form
    11,468.75/16,150.63 = 16,150.63/x
  3. Step 3: Cross multiply
    11,468.75x = 16,150.63 × 16,150.63
  4. Step 4: Simplify right side
    11,468.75x = 260,842,687.89
  5. Step 5: Solve for x
    x = 260,842,687.89/11,468.75
  6. Step 6: Final answer
    x = 22,743.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.