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Finding the Third Proportional to 6,410 and 14,092

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Solution

The third proportional to 6,410 and 14,092 is: 30,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 14,092 = 14,092 : x
  2. Step 2: Convert to fraction form
    6,410/14,092 = 14,092/x
  3. Step 3: Cross multiply
    6,410x = 14,092 × 14,092
  4. Step 4: Simplify right side
    6,410x = 198,584,464
  5. Step 5: Solve for x
    x = 198,584,464/6,410
  6. Step 6: Final answer
    x = 30,980.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.