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Finding the Third Proportional to 13,006 and 17,773

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Solution

The third proportional to 13,006 and 17,773 is: 24,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 17,773 = 17,773 : x
  2. Step 2: Convert to fraction form
    13,006/17,773 = 17,773/x
  3. Step 3: Cross multiply
    13,006x = 17,773 × 17,773
  4. Step 4: Simplify right side
    13,006x = 315,879,529
  5. Step 5: Solve for x
    x = 315,879,529/13,006
  6. Step 6: Final answer
    x = 24,287.22

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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.