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Finding the Third Proportional to 30,985.35 and 67,122.11

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Solution

The third proportional to 30,985.35 and 67,122.11 is: 145,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.35 : 67,122.11 = 67,122.11 : x
  2. Step 2: Convert to fraction form
    30,985.35/67,122.11 = 67,122.11/x
  3. Step 3: Cross multiply
    30,985.35x = 67,122.11 × 67,122.11
  4. Step 4: Simplify right side
    30,985.35x = 4,505,377,042.56
  5. Step 5: Solve for x
    x = 4,505,377,042.56/30,985.35
  6. Step 6: Final answer
    x = 145,403.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.