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Finding the Third Proportional to 30,397 and 66,325

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Solution

The third proportional to 30,397 and 66,325 is: 144,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397 : 66,325 = 66,325 : x
  2. Step 2: Convert to fraction form
    30,397/66,325 = 66,325/x
  3. Step 3: Cross multiply
    30,397x = 66,325 × 66,325
  4. Step 4: Simplify right side
    30,397x = 4,399,005,625
  5. Step 5: Solve for x
    x = 4,399,005,625/30,397
  6. Step 6: Final answer
    x = 144,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.