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Finding the Third Proportional to 6,585 and 11,901

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Solution

The third proportional to 6,585 and 11,901 is: 21,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585 : 11,901 = 11,901 : x
  2. Step 2: Convert to fraction form
    6,585/11,901 = 11,901/x
  3. Step 3: Cross multiply
    6,585x = 11,901 × 11,901
  4. Step 4: Simplify right side
    6,585x = 141,633,801
  5. Step 5: Solve for x
    x = 141,633,801/6,585
  6. Step 6: Final answer
    x = 21,508.55

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.