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Finding the Third Proportional to 9,105.75 and 11,957.63

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Solution

The third proportional to 9,105.75 and 11,957.63 is: 15,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.75 : 11,957.63 = 11,957.63 : x
  2. Step 2: Convert to fraction form
    9,105.75/11,957.63 = 11,957.63/x
  3. Step 3: Cross multiply
    9,105.75x = 11,957.63 × 11,957.63
  4. Step 4: Simplify right side
    9,105.75x = 142,984,795.64
  5. Step 5: Solve for x
    x = 142,984,795.64/9,105.75
  6. Step 6: Final answer
    x = 15,702.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.