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Finding the Third Proportional to 6,434 and 14,132

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Solution

The third proportional to 6,434 and 14,132 is: 31,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 14,132 = 14,132 : x
  2. Step 2: Convert to fraction form
    6,434/14,132 = 14,132/x
  3. Step 3: Cross multiply
    6,434x = 14,132 × 14,132
  4. Step 4: Simplify right side
    6,434x = 199,713,424
  5. Step 5: Solve for x
    x = 199,713,424/6,434
  6. Step 6: Final answer
    x = 31,040.32

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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.