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Finding the Third Proportional to 30,658.50 and 67,007.25

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Solution

The third proportional to 30,658.50 and 67,007.25 is: 146,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 67,007.25 = 67,007.25 : x
  2. Step 2: Convert to fraction form
    30,658.50/67,007.25 = 67,007.25/x
  3. Step 3: Cross multiply
    30,658.50x = 67,007.25 × 67,007.25
  4. Step 4: Simplify right side
    30,658.50x = 4,489,971,552.56
  5. Step 5: Solve for x
    x = 4,489,971,552.56/30,658.50
  6. Step 6: Final answer
    x = 146,451.12

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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.