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Finding the Third Proportional to 30,686.34 and 67,910.91

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Solution

The third proportional to 30,686.34 and 67,910.91 is: 150,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.34 : 67,910.91 = 67,910.91 : x
  2. Step 2: Convert to fraction form
    30,686.34/67,910.91 = 67,910.91/x
  3. Step 3: Cross multiply
    30,686.34x = 67,910.91 × 67,910.91
  4. Step 4: Simplify right side
    30,686.34x = 4,611,891,187.70
  5. Step 5: Solve for x
    x = 4,611,891,187.70/30,686.34
  6. Step 6: Final answer
    x = 150,291.32

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.