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Finding the Third Proportional to 7,326.75 and 10,853.25

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Solution

The third proportional to 7,326.75 and 10,853.25 is: 16,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326.75 : 10,853.25 = 10,853.25 : x
  2. Step 2: Convert to fraction form
    7,326.75/10,853.25 = 10,853.25/x
  3. Step 3: Cross multiply
    7,326.75x = 10,853.25 × 10,853.25
  4. Step 4: Simplify right side
    7,326.75x = 117,793,035.56
  5. Step 5: Solve for x
    x = 117,793,035.56/7,326.75
  6. Step 6: Final answer
    x = 16,077.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.