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Finding the Third Proportional to 30,922 and 66,217

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Solution

The third proportional to 30,922 and 66,217 is: 141,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 66,217 = 66,217 : x
  2. Step 2: Convert to fraction form
    30,922/66,217 = 66,217/x
  3. Step 3: Cross multiply
    30,922x = 66,217 × 66,217
  4. Step 4: Simplify right side
    30,922x = 4,384,691,089
  5. Step 5: Solve for x
    x = 4,384,691,089/30,922
  6. Step 6: Final answer
    x = 141,798.43

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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.