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Finding the Third Proportional to 30,371 and 66,591

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Solution

The third proportional to 30,371 and 66,591 is: 146,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371 : 66,591 = 66,591 : x
  2. Step 2: Convert to fraction form
    30,371/66,591 = 66,591/x
  3. Step 3: Cross multiply
    30,371x = 66,591 × 66,591
  4. Step 4: Simplify right side
    30,371x = 4,434,361,281
  5. Step 5: Solve for x
    x = 4,434,361,281/30,371
  6. Step 6: Final answer
    x = 146,006.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.