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Finding the Third Proportional to 11,702.25 and 20,808

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Solution

The third proportional to 11,702.25 and 20,808 is: 36,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.25 : 20,808 = 20,808 : x
  2. Step 2: Convert to fraction form
    11,702.25/20,808 = 20,808/x
  3. Step 3: Cross multiply
    11,702.25x = 20,808 × 20,808
  4. Step 4: Simplify right side
    11,702.25x = 432,972,864
  5. Step 5: Solve for x
    x = 432,972,864/11,702.25
  6. Step 6: Final answer
    x = 36,999.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.