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Finding the Third Proportional to 30,701 and 41,252

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Solution

The third proportional to 30,701 and 41,252 is: 55,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701 : 41,252 = 41,252 : x
  2. Step 2: Convert to fraction form
    30,701/41,252 = 41,252/x
  3. Step 3: Cross multiply
    30,701x = 41,252 × 41,252
  4. Step 4: Simplify right side
    30,701x = 1,701,727,504
  5. Step 5: Solve for x
    x = 1,701,727,504/30,701
  6. Step 6: Final answer
    x = 55,429.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.