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Finding the Third Proportional to 13,006.50 and 17,775

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Solution

The third proportional to 13,006.50 and 17,775 is: 24,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.50 : 17,775 = 17,775 : x
  2. Step 2: Convert to fraction form
    13,006.50/17,775 = 17,775/x
  3. Step 3: Cross multiply
    13,006.50x = 17,775 × 17,775
  4. Step 4: Simplify right side
    13,006.50x = 315,950,625
  5. Step 5: Solve for x
    x = 315,950,625/13,006.50
  6. Step 6: Final answer
    x = 24,291.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.