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Finding the Third Proportional to 13,827 and 18,628.50

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Solution

The third proportional to 13,827 and 18,628.50 is: 25,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 18,628.50 = 18,628.50 : x
  2. Step 2: Convert to fraction form
    13,827/18,628.50 = 18,628.50/x
  3. Step 3: Cross multiply
    13,827x = 18,628.50 × 18,628.50
  4. Step 4: Simplify right side
    13,827x = 347,021,012.25
  5. Step 5: Solve for x
    x = 347,021,012.25/13,827
  6. Step 6: Final answer
    x = 25,097.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.