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Finding the Third Proportional to 4,827.09 and 11,152.69

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Solution

The third proportional to 4,827.09 and 11,152.69 is: 25,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.09 : 11,152.69 = 11,152.69 : x
  2. Step 2: Convert to fraction form
    4,827.09/11,152.69 = 11,152.69/x
  3. Step 3: Cross multiply
    4,827.09x = 11,152.69 × 11,152.69
  4. Step 4: Simplify right side
    4,827.09x = 124,382,438.47
  5. Step 5: Solve for x
    x = 124,382,438.47/4,827.09
  6. Step 6: Final answer
    x = 25,767.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.