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Finding the Third Proportional to 11,527.31 and 27,200.81

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Solution

The third proportional to 11,527.31 and 27,200.81 is: 64,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.31 : 27,200.81 = 27,200.81 : x
  2. Step 2: Convert to fraction form
    11,527.31/27,200.81 = 27,200.81/x
  3. Step 3: Cross multiply
    11,527.31x = 27,200.81 × 27,200.81
  4. Step 4: Simplify right side
    11,527.31x = 739,884,200.66
  5. Step 5: Solve for x
    x = 739,884,200.66/11,527.31
  6. Step 6: Final answer
    x = 64,185.32

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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.