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Finding the Third Proportional to 13,827 and 30,246

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Solution

The third proportional to 13,827 and 30,246 is: 66,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 30,246 = 30,246 : x
  2. Step 2: Convert to fraction form
    13,827/30,246 = 30,246/x
  3. Step 3: Cross multiply
    13,827x = 30,246 × 30,246
  4. Step 4: Simplify right side
    13,827x = 914,820,516
  5. Step 5: Solve for x
    x = 914,820,516/13,827
  6. Step 6: Final answer
    x = 66,161.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.