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Finding the Third Proportional to 11,340 and 19,002

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Solution

The third proportional to 11,340 and 19,002 is: 31,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 19,002 = 19,002 : x
  2. Step 2: Convert to fraction form
    11,340/19,002 = 19,002/x
  3. Step 3: Cross multiply
    11,340x = 19,002 × 19,002
  4. Step 4: Simplify right side
    11,340x = 361,076,004
  5. Step 5: Solve for x
    x = 361,076,004/11,340
  6. Step 6: Final answer
    x = 31,840.92

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.