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Finding the Third Proportional to 13,714 and 18,583.50

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Solution

The third proportional to 13,714 and 18,583.50 is: 25,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714 : 18,583.50 = 18,583.50 : x
  2. Step 2: Convert to fraction form
    13,714/18,583.50 = 18,583.50/x
  3. Step 3: Cross multiply
    13,714x = 18,583.50 × 18,583.50
  4. Step 4: Simplify right side
    13,714x = 345,346,472.25
  5. Step 5: Solve for x
    x = 345,346,472.25/13,714
  6. Step 6: Final answer
    x = 25,182.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.