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Finding the Third Proportional to 11,003 and 22,786

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Solution

The third proportional to 11,003 and 22,786 is: 47,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003 : 22,786 = 22,786 : x
  2. Step 2: Convert to fraction form
    11,003/22,786 = 22,786/x
  3. Step 3: Cross multiply
    11,003x = 22,786 × 22,786
  4. Step 4: Simplify right side
    11,003x = 519,201,796
  5. Step 5: Solve for x
    x = 519,201,796/11,003
  6. Step 6: Final answer
    x = 47,187.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.