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Finding the Third Proportional to 30,933 and 66,807

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Solution

The third proportional to 30,933 and 66,807 is: 144,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 66,807 = 66,807 : x
  2. Step 2: Convert to fraction form
    30,933/66,807 = 66,807/x
  3. Step 3: Cross multiply
    30,933x = 66,807 × 66,807
  4. Step 4: Simplify right side
    30,933x = 4,463,175,249
  5. Step 5: Solve for x
    x = 4,463,175,249/30,933
  6. Step 6: Final answer
    x = 144,285.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.