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Finding the Third Proportional to 11,188.13 and 24,527.81

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Solution

The third proportional to 11,188.13 and 24,527.81 is: 53,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.13 : 24,527.81 = 24,527.81 : x
  2. Step 2: Convert to fraction form
    11,188.13/24,527.81 = 24,527.81/x
  3. Step 3: Cross multiply
    11,188.13x = 24,527.81 × 24,527.81
  4. Step 4: Simplify right side
    11,188.13x = 601,613,586.04
  5. Step 5: Solve for x
    x = 601,613,586.04/11,188.13
  6. Step 6: Final answer
    x = 53,772.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.