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Finding the Third Proportional to 8,254 and 14,114

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Solution

The third proportional to 8,254 and 14,114 is: 24,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254 : 14,114 = 14,114 : x
  2. Step 2: Convert to fraction form
    8,254/14,114 = 14,114/x
  3. Step 3: Cross multiply
    8,254x = 14,114 × 14,114
  4. Step 4: Simplify right side
    8,254x = 199,204,996
  5. Step 5: Solve for x
    x = 199,204,996/8,254
  6. Step 6: Final answer
    x = 24,134.36

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.