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Finding the Third Proportional to 23,776.88 and 56,229.66

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Solution

The third proportional to 23,776.88 and 56,229.66 is: 132,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.88 : 56,229.66 = 56,229.66 : x
  2. Step 2: Convert to fraction form
    23,776.88/56,229.66 = 56,229.66/x
  3. Step 3: Cross multiply
    23,776.88x = 56,229.66 × 56,229.66
  4. Step 4: Simplify right side
    23,776.88x = 3,161,774,241.99
  5. Step 5: Solve for x
    x = 3,161,774,241.99/23,776.88
  6. Step 6: Final answer
    x = 132,976.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.