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Finding the Third Proportional to 11,562.75 and 27,286.88

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Solution

The third proportional to 11,562.75 and 27,286.88 is: 64,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 27,286.88 = 27,286.88 : x
  2. Step 2: Convert to fraction form
    11,562.75/27,286.88 = 27,286.88/x
  3. Step 3: Cross multiply
    11,562.75x = 27,286.88 × 27,286.88
  4. Step 4: Simplify right side
    11,562.75x = 744,573,547.27
  5. Step 5: Solve for x
    x = 744,573,547.27/11,562.75
  6. Step 6: Final answer
    x = 64,394.16

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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.