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Finding the Third Proportional to 30,933 and 66,240

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Solution

The third proportional to 30,933 and 66,240 is: 141,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 66,240 = 66,240 : x
  2. Step 2: Convert to fraction form
    30,933/66,240 = 66,240/x
  3. Step 3: Cross multiply
    30,933x = 66,240 × 66,240
  4. Step 4: Simplify right side
    30,933x = 4,387,737,600
  5. Step 5: Solve for x
    x = 4,387,737,600/30,933
  6. Step 6: Final answer
    x = 141,846.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.