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Finding the Third Proportional to 12,727.13 and 23,573.81

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Solution

The third proportional to 12,727.13 and 23,573.81 is: 43,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.13 : 23,573.81 = 23,573.81 : x
  2. Step 2: Convert to fraction form
    12,727.13/23,573.81 = 23,573.81/x
  3. Step 3: Cross multiply
    12,727.13x = 23,573.81 × 23,573.81
  4. Step 4: Simplify right side
    12,727.13x = 555,724,635.79
  5. Step 5: Solve for x
    x = 555,724,635.79/12,727.13
  6. Step 6: Final answer
    x = 43,664.59

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.