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Finding the Third Proportional to 30,630 and 45,366

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Solution

The third proportional to 30,630 and 45,366 is: 67,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630 : 45,366 = 45,366 : x
  2. Step 2: Convert to fraction form
    30,630/45,366 = 45,366/x
  3. Step 3: Cross multiply
    30,630x = 45,366 × 45,366
  4. Step 4: Simplify right side
    30,630x = 2,058,073,956
  5. Step 5: Solve for x
    x = 2,058,073,956/30,630
  6. Step 6: Final answer
    x = 67,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.