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Finding the Third Proportional to 30,906.56 and 67,475.53

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Solution

The third proportional to 30,906.56 and 67,475.53 is: 147,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.56 : 67,475.53 = 67,475.53 : x
  2. Step 2: Convert to fraction form
    30,906.56/67,475.53 = 67,475.53/x
  3. Step 3: Cross multiply
    30,906.56x = 67,475.53 × 67,475.53
  4. Step 4: Simplify right side
    30,906.56x = 4,552,947,317.47
  5. Step 5: Solve for x
    x = 4,552,947,317.47/30,906.56
  6. Step 6: Final answer
    x = 147,313.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.