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Finding the Third Proportional to 23,305.22 and 51,872.91

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Solution

The third proportional to 23,305.22 and 51,872.91 is: 115,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.22 : 51,872.91 = 51,872.91 : x
  2. Step 2: Convert to fraction form
    23,305.22/51,872.91 = 51,872.91/x
  3. Step 3: Cross multiply
    23,305.22x = 51,872.91 × 51,872.91
  4. Step 4: Simplify right side
    23,305.22x = 2,690,798,402.82
  5. Step 5: Solve for x
    x = 2,690,798,402.82/23,305.22
  6. Step 6: Final answer
    x = 115,459.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.