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Finding the Third Proportional to 30,416 and 66,824

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Solution

The third proportional to 30,416 and 66,824 is: 146,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 66,824 = 66,824 : x
  2. Step 2: Convert to fraction form
    30,416/66,824 = 66,824/x
  3. Step 3: Cross multiply
    30,416x = 66,824 × 66,824
  4. Step 4: Simplify right side
    30,416x = 4,465,446,976
  5. Step 5: Solve for x
    x = 4,465,446,976/30,416
  6. Step 6: Final answer
    x = 146,812.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.