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Finding the Third Proportional to 5,644 and 11,426

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Solution

The third proportional to 5,644 and 11,426 is: 23,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 11,426 = 11,426 : x
  2. Step 2: Convert to fraction form
    5,644/11,426 = 11,426/x
  3. Step 3: Cross multiply
    5,644x = 11,426 × 11,426
  4. Step 4: Simplify right side
    5,644x = 130,553,476
  5. Step 5: Solve for x
    x = 130,553,476/5,644
  6. Step 6: Final answer
    x = 23,131.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.