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Finding the Third Proportional to 30,857 and 66,619

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Solution

The third proportional to 30,857 and 66,619 is: 143,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857 : 66,619 = 66,619 : x
  2. Step 2: Convert to fraction form
    30,857/66,619 = 66,619/x
  3. Step 3: Cross multiply
    30,857x = 66,619 × 66,619
  4. Step 4: Simplify right side
    30,857x = 4,438,091,161
  5. Step 5: Solve for x
    x = 4,438,091,161/30,857
  6. Step 6: Final answer
    x = 143,827.69

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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.