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Finding the Third Proportional to 30,212 and 45,462

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Solution

The third proportional to 30,212 and 45,462 is: 68,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212 : 45,462 = 45,462 : x
  2. Step 2: Convert to fraction form
    30,212/45,462 = 45,462/x
  3. Step 3: Cross multiply
    30,212x = 45,462 × 45,462
  4. Step 4: Simplify right side
    30,212x = 2,066,793,444
  5. Step 5: Solve for x
    x = 2,066,793,444/30,212
  6. Step 6: Final answer
    x = 68,409.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.