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Finding the Third Proportional to 10,655 and 14,002

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Solution

The third proportional to 10,655 and 14,002 is: 18,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655 : 14,002 = 14,002 : x
  2. Step 2: Convert to fraction form
    10,655/14,002 = 14,002/x
  3. Step 3: Cross multiply
    10,655x = 14,002 × 14,002
  4. Step 4: Simplify right side
    10,655x = 196,056,004
  5. Step 5: Solve for x
    x = 196,056,004/10,655
  6. Step 6: Final answer
    x = 18,400.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.