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Finding the Third Proportional to 30,677 and 66,187

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Solution

The third proportional to 30,677 and 66,187 is: 142,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677 : 66,187 = 66,187 : x
  2. Step 2: Convert to fraction form
    30,677/66,187 = 66,187/x
  3. Step 3: Cross multiply
    30,677x = 66,187 × 66,187
  4. Step 4: Simplify right side
    30,677x = 4,380,718,969
  5. Step 5: Solve for x
    x = 4,380,718,969/30,677
  6. Step 6: Final answer
    x = 142,801.41

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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.