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Finding the Third Proportional to 10,945.13 and 16,351.88

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Solution

The third proportional to 10,945.13 and 16,351.88 is: 24,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.13 : 16,351.88 = 16,351.88 : x
  2. Step 2: Convert to fraction form
    10,945.13/16,351.88 = 16,351.88/x
  3. Step 3: Cross multiply
    10,945.13x = 16,351.88 × 16,351.88
  4. Step 4: Simplify right side
    10,945.13x = 267,383,816.02
  5. Step 5: Solve for x
    x = 267,383,816.02/10,945.13
  6. Step 6: Final answer
    x = 24,429.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.