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Finding the Third Proportional to 30,578.25 and 67,364.25

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Solution

The third proportional to 30,578.25 and 67,364.25 is: 148,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.25 : 67,364.25 = 67,364.25 : x
  2. Step 2: Convert to fraction form
    30,578.25/67,364.25 = 67,364.25/x
  3. Step 3: Cross multiply
    30,578.25x = 67,364.25 × 67,364.25
  4. Step 4: Simplify right side
    30,578.25x = 4,537,942,178.06
  5. Step 5: Solve for x
    x = 4,537,942,178.06/30,578.25
  6. Step 6: Final answer
    x = 148,404.25

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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.