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Finding the Third Proportional to 11,700 and 20,801.25

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Solution

The third proportional to 11,700 and 20,801.25 is: 36,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 20,801.25 = 20,801.25 : x
  2. Step 2: Convert to fraction form
    11,700/20,801.25 = 20,801.25/x
  3. Step 3: Cross multiply
    11,700x = 20,801.25 × 20,801.25
  4. Step 4: Simplify right side
    11,700x = 432,692,001.56
  5. Step 5: Solve for x
    x = 432,692,001.56/11,700
  6. Step 6: Final answer
    x = 36,982.22

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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.