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Finding the Third Proportional to 30,729.38 and 67,199.63

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Solution

The third proportional to 30,729.38 and 67,199.63 is: 146,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.38 : 67,199.63 = 67,199.63 : x
  2. Step 2: Convert to fraction form
    30,729.38/67,199.63 = 67,199.63/x
  3. Step 3: Cross multiply
    30,729.38x = 67,199.63 × 67,199.63
  4. Step 4: Simplify right side
    30,729.38x = 4,515,789,600.14
  5. Step 5: Solve for x
    x = 4,515,789,600.14/30,729.38
  6. Step 6: Final answer
    x = 146,953.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.