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Finding the Third Proportional to 11,251.13 and 24,305.63

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Solution

The third proportional to 11,251.13 and 24,305.63 is: 52,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.13 : 24,305.63 = 24,305.63 : x
  2. Step 2: Convert to fraction form
    11,251.13/24,305.63 = 24,305.63/x
  3. Step 3: Cross multiply
    11,251.13x = 24,305.63 × 24,305.63
  4. Step 4: Simplify right side
    11,251.13x = 590,763,406.64
  5. Step 5: Solve for x
    x = 590,763,406.64/11,251.13
  6. Step 6: Final answer
    x = 52,507.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.