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Finding the Third Proportional to 12,086.72 and 24,925.22

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Solution

The third proportional to 12,086.72 and 24,925.22 is: 51,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.72 : 24,925.22 = 24,925.22 : x
  2. Step 2: Convert to fraction form
    12,086.72/24,925.22 = 24,925.22/x
  3. Step 3: Cross multiply
    12,086.72x = 24,925.22 × 24,925.22
  4. Step 4: Simplify right side
    12,086.72x = 621,266,529.74
  5. Step 5: Solve for x
    x = 621,266,529.74/12,086.72
  6. Step 6: Final answer
    x = 51,400.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.