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Finding the Third Proportional to 30,683 and 66,199

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Solution

The third proportional to 30,683 and 66,199 is: 142,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683 : 66,199 = 66,199 : x
  2. Step 2: Convert to fraction form
    30,683/66,199 = 66,199/x
  3. Step 3: Cross multiply
    30,683x = 66,199 × 66,199
  4. Step 4: Simplify right side
    30,683x = 4,382,307,601
  5. Step 5: Solve for x
    x = 4,382,307,601/30,683
  6. Step 6: Final answer
    x = 142,825.26

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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.