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Finding the Third Proportional to 30,928.50 and 46,527.75

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Solution

The third proportional to 30,928.50 and 46,527.75 is: 69,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.50 : 46,527.75 = 46,527.75 : x
  2. Step 2: Convert to fraction form
    30,928.50/46,527.75 = 46,527.75/x
  3. Step 3: Cross multiply
    30,928.50x = 46,527.75 × 46,527.75
  4. Step 4: Simplify right side
    30,928.50x = 2,164,831,520.06
  5. Step 5: Solve for x
    x = 2,164,831,520.06/30,928.50
  6. Step 6: Final answer
    x = 69,994.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.