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Finding the Third Proportional to 21,323 and 29,827

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Solution

The third proportional to 21,323 and 29,827 is: 41,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323 : 29,827 = 29,827 : x
  2. Step 2: Convert to fraction form
    21,323/29,827 = 29,827/x
  3. Step 3: Cross multiply
    21,323x = 29,827 × 29,827
  4. Step 4: Simplify right side
    21,323x = 889,649,929
  5. Step 5: Solve for x
    x = 889,649,929/21,323
  6. Step 6: Final answer
    x = 41,722.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.