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Finding the Third Proportional to 13,644 and 29,376

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Solution

The third proportional to 13,644 and 29,376 is: 63,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644 : 29,376 = 29,376 : x
  2. Step 2: Convert to fraction form
    13,644/29,376 = 29,376/x
  3. Step 3: Cross multiply
    13,644x = 29,376 × 29,376
  4. Step 4: Simplify right side
    13,644x = 862,949,376
  5. Step 5: Solve for x
    x = 862,949,376/13,644
  6. Step 6: Final answer
    x = 63,247.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.