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Finding the Third Proportional to 11,001 and 15,764.44

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Solution

The third proportional to 11,001 and 15,764.44 is: 22,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001 : 15,764.44 = 15,764.44 : x
  2. Step 2: Convert to fraction form
    11,001/15,764.44 = 15,764.44/x
  3. Step 3: Cross multiply
    11,001x = 15,764.44 × 15,764.44
  4. Step 4: Simplify right side
    11,001x = 248,517,489.69
  5. Step 5: Solve for x
    x = 248,517,489.69/11,001
  6. Step 6: Final answer
    x = 22,590.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.