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Finding the Third Proportional to 10,611 and 23,047.03

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Solution

The third proportional to 10,611 and 23,047.03 is: 50,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611 : 23,047.03 = 23,047.03 : x
  2. Step 2: Convert to fraction form
    10,611/23,047.03 = 23,047.03/x
  3. Step 3: Cross multiply
    10,611x = 23,047.03 × 23,047.03
  4. Step 4: Simplify right side
    10,611x = 531,165,649.44
  5. Step 5: Solve for x
    x = 531,165,649.44/10,611
  6. Step 6: Final answer
    x = 50,058.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.