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Finding the Third Proportional to 11,323 and 26,644

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Solution

The third proportional to 11,323 and 26,644 is: 62,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323 : 26,644 = 26,644 : x
  2. Step 2: Convert to fraction form
    11,323/26,644 = 26,644/x
  3. Step 3: Cross multiply
    11,323x = 26,644 × 26,644
  4. Step 4: Simplify right side
    11,323x = 709,902,736
  5. Step 5: Solve for x
    x = 709,902,736/11,323
  6. Step 6: Final answer
    x = 62,695.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.