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Finding the Third Proportional to 30,683 and 66,061

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Solution

The third proportional to 30,683 and 66,061 is: 142,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683 : 66,061 = 66,061 : x
  2. Step 2: Convert to fraction form
    30,683/66,061 = 66,061/x
  3. Step 3: Cross multiply
    30,683x = 66,061 × 66,061
  4. Step 4: Simplify right side
    30,683x = 4,364,055,721
  5. Step 5: Solve for x
    x = 4,364,055,721/30,683
  6. Step 6: Final answer
    x = 142,230.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.