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Finding the Third Proportional to 30,245.25 and 70,639.50

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Solution

The third proportional to 30,245.25 and 70,639.50 is: 164,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245.25 : 70,639.50 = 70,639.50 : x
  2. Step 2: Convert to fraction form
    30,245.25/70,639.50 = 70,639.50/x
  3. Step 3: Cross multiply
    30,245.25x = 70,639.50 × 70,639.50
  4. Step 4: Simplify right side
    30,245.25x = 4,989,938,960.25
  5. Step 5: Solve for x
    x = 4,989,938,960.25/30,245.25
  6. Step 6: Final answer
    x = 164,982.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.