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Finding the Third Proportional to 30,716 and 66,992

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Solution

The third proportional to 30,716 and 66,992 is: 146,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716 : 66,992 = 66,992 : x
  2. Step 2: Convert to fraction form
    30,716/66,992 = 66,992/x
  3. Step 3: Cross multiply
    30,716x = 66,992 × 66,992
  4. Step 4: Simplify right side
    30,716x = 4,487,928,064
  5. Step 5: Solve for x
    x = 4,487,928,064/30,716
  6. Step 6: Final answer
    x = 146,110.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.