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Finding the Third Proportional to 30,542 and 66,306

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Solution

The third proportional to 30,542 and 66,306 is: 143,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542 : 66,306 = 66,306 : x
  2. Step 2: Convert to fraction form
    30,542/66,306 = 66,306/x
  3. Step 3: Cross multiply
    30,542x = 66,306 × 66,306
  4. Step 4: Simplify right side
    30,542x = 4,396,485,636
  5. Step 5: Solve for x
    x = 4,396,485,636/30,542
  6. Step 6: Final answer
    x = 143,948.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.