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Finding the Third Proportional to 13,827 and 21,445

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Solution

The third proportional to 13,827 and 21,445 is: 33,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 21,445 = 21,445 : x
  2. Step 2: Convert to fraction form
    13,827/21,445 = 21,445/x
  3. Step 3: Cross multiply
    13,827x = 21,445 × 21,445
  4. Step 4: Simplify right side
    13,827x = 459,888,025
  5. Step 5: Solve for x
    x = 459,888,025/13,827
  6. Step 6: Final answer
    x = 33,260.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.