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Finding the Third Proportional to 30,985.75 and 67,123.25

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Solution

The third proportional to 30,985.75 and 67,123.25 is: 145,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.75 : 67,123.25 = 67,123.25 : x
  2. Step 2: Convert to fraction form
    30,985.75/67,123.25 = 67,123.25/x
  3. Step 3: Cross multiply
    30,985.75x = 67,123.25 × 67,123.25
  4. Step 4: Simplify right side
    30,985.75x = 4,505,530,690.56
  5. Step 5: Solve for x
    x = 4,505,530,690.56/30,985.75
  6. Step 6: Final answer
    x = 145,406.54

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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.