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Finding the Third Proportional to 13,150.50 and 18,497

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Solution

The third proportional to 13,150.50 and 18,497 is: 26,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.50 : 18,497 = 18,497 : x
  2. Step 2: Convert to fraction form
    13,150.50/18,497 = 18,497/x
  3. Step 3: Cross multiply
    13,150.50x = 18,497 × 18,497
  4. Step 4: Simplify right side
    13,150.50x = 342,139,009
  5. Step 5: Solve for x
    x = 342,139,009/13,150.50
  6. Step 6: Final answer
    x = 26,017.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.