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Finding the Third Proportional to 30,766.50 and 43,994.25

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Solution

The third proportional to 30,766.50 and 43,994.25 is: 62,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.50 : 43,994.25 = 43,994.25 : x
  2. Step 2: Convert to fraction form
    30,766.50/43,994.25 = 43,994.25/x
  3. Step 3: Cross multiply
    30,766.50x = 43,994.25 × 43,994.25
  4. Step 4: Simplify right side
    30,766.50x = 1,935,494,033.06
  5. Step 5: Solve for x
    x = 1,935,494,033.06/30,766.50
  6. Step 6: Final answer
    x = 62,909.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.