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Finding the Third Proportional to 30,152.25 and 50,280.75

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Solution

The third proportional to 30,152.25 and 50,280.75 is: 83,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.25 : 50,280.75 = 50,280.75 : x
  2. Step 2: Convert to fraction form
    30,152.25/50,280.75 = 50,280.75/x
  3. Step 3: Cross multiply
    30,152.25x = 50,280.75 × 50,280.75
  4. Step 4: Simplify right side
    30,152.25x = 2,528,153,820.56
  5. Step 5: Solve for x
    x = 2,528,153,820.56/30,152.25
  6. Step 6: Final answer
    x = 83,846.27

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.