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Finding the Third Proportional to 30,585.38 and 67,379.63

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Solution

The third proportional to 30,585.38 and 67,379.63 is: 148,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.38 : 67,379.63 = 67,379.63 : x
  2. Step 2: Convert to fraction form
    30,585.38/67,379.63 = 67,379.63/x
  3. Step 3: Cross multiply
    30,585.38x = 67,379.63 × 67,379.63
  4. Step 4: Simplify right side
    30,585.38x = 4,540,013,865.14
  5. Step 5: Solve for x
    x = 4,540,013,865.14/30,585.38
  6. Step 6: Final answer
    x = 148,437.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.