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Finding the Third Proportional to 1,109 and 2,361

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Solution

The third proportional to 1,109 and 2,361 is: 5,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109 : 2,361 = 2,361 : x
  2. Step 2: Convert to fraction form
    1,109/2,361 = 2,361/x
  3. Step 3: Cross multiply
    1,109x = 2,361 × 2,361
  4. Step 4: Simplify right side
    1,109x = 5,574,321
  5. Step 5: Solve for x
    x = 5,574,321/1,109
  6. Step 6: Final answer
    x = 5,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.