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Finding the Third Proportional to 30,814 and 67,639

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Solution

The third proportional to 30,814 and 67,639 is: 148,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 67,639 = 67,639 : x
  2. Step 2: Convert to fraction form
    30,814/67,639 = 67,639/x
  3. Step 3: Cross multiply
    30,814x = 67,639 × 67,639
  4. Step 4: Simplify right side
    30,814x = 4,575,034,321
  5. Step 5: Solve for x
    x = 4,575,034,321/30,814
  6. Step 6: Final answer
    x = 148,472.59

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