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Finding the Third Proportional to 13,199 and 19,204.50

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Solution

The third proportional to 13,199 and 19,204.50 is: 27,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199 : 19,204.50 = 19,204.50 : x
  2. Step 2: Convert to fraction form
    13,199/19,204.50 = 19,204.50/x
  3. Step 3: Cross multiply
    13,199x = 19,204.50 × 19,204.50
  4. Step 4: Simplify right side
    13,199x = 368,812,820.25
  5. Step 5: Solve for x
    x = 368,812,820.25/13,199
  6. Step 6: Final answer
    x = 27,942.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.