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Finding the Third Proportional to 14,127 and 30,682

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Solution

The third proportional to 14,127 and 30,682 is: 66,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127 : 30,682 = 30,682 : x
  2. Step 2: Convert to fraction form
    14,127/30,682 = 30,682/x
  3. Step 3: Cross multiply
    14,127x = 30,682 × 30,682
  4. Step 4: Simplify right side
    14,127x = 941,385,124
  5. Step 5: Solve for x
    x = 941,385,124/14,127
  6. Step 6: Final answer
    x = 66,637.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.