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Finding the Third Proportional to 7,661.25 and 11,537.44

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Solution

The third proportional to 7,661.25 and 11,537.44 is: 17,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.25 : 11,537.44 = 11,537.44 : x
  2. Step 2: Convert to fraction form
    7,661.25/11,537.44 = 11,537.44/x
  3. Step 3: Cross multiply
    7,661.25x = 11,537.44 × 11,537.44
  4. Step 4: Simplify right side
    7,661.25x = 133,112,464.07
  5. Step 5: Solve for x
    x = 133,112,464.07/7,661.25
  6. Step 6: Final answer
    x = 17,374.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.