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Finding the Third Proportional to 30,894.50 and 67,452.50

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Solution

The third proportional to 30,894.50 and 67,452.50 is: 147,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.50 : 67,452.50 = 67,452.50 : x
  2. Step 2: Convert to fraction form
    30,894.50/67,452.50 = 67,452.50/x
  3. Step 3: Cross multiply
    30,894.50x = 67,452.50 × 67,452.50
  4. Step 4: Simplify right side
    30,894.50x = 4,549,839,756.25
  5. Step 5: Solve for x
    x = 4,549,839,756.25/30,894.50
  6. Step 6: Final answer
    x = 147,270.22

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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.