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Finding the Third Proportional to 30,290 and 46,493

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Solution

The third proportional to 30,290 and 46,493 is: 71,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290 : 46,493 = 46,493 : x
  2. Step 2: Convert to fraction form
    30,290/46,493 = 46,493/x
  3. Step 3: Cross multiply
    30,290x = 46,493 × 46,493
  4. Step 4: Simplify right side
    30,290x = 2,161,599,049
  5. Step 5: Solve for x
    x = 2,161,599,049/30,290
  6. Step 6: Final answer
    x = 71,363.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.