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Finding the Third Proportional to 30,651 and 43,374

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Solution

The third proportional to 30,651 and 43,374 is: 61,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 43,374 = 43,374 : x
  2. Step 2: Convert to fraction form
    30,651/43,374 = 43,374/x
  3. Step 3: Cross multiply
    30,651x = 43,374 × 43,374
  4. Step 4: Simplify right side
    30,651x = 1,881,303,876
  5. Step 5: Solve for x
    x = 1,881,303,876/30,651
  6. Step 6: Final answer
    x = 61,378.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.