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Finding the Third Proportional to 30,668 and 46,153

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Solution

The third proportional to 30,668 and 46,153 is: 69,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668 : 46,153 = 46,153 : x
  2. Step 2: Convert to fraction form
    30,668/46,153 = 46,153/x
  3. Step 3: Cross multiply
    30,668x = 46,153 × 46,153
  4. Step 4: Simplify right side
    30,668x = 2,130,099,409
  5. Step 5: Solve for x
    x = 2,130,099,409/30,668
  6. Step 6: Final answer
    x = 69,456.74

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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.