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Finding the Third Proportional to 14,142 and 30,652

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Solution

The third proportional to 14,142 and 30,652 is: 66,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 30,652 = 30,652 : x
  2. Step 2: Convert to fraction form
    14,142/30,652 = 30,652/x
  3. Step 3: Cross multiply
    14,142x = 30,652 × 30,652
  4. Step 4: Simplify right side
    14,142x = 939,545,104
  5. Step 5: Solve for x
    x = 939,545,104/14,142
  6. Step 6: Final answer
    x = 66,436.51

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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.