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Finding the Third Proportional to 30,762 and 48,192.75

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Solution

The third proportional to 30,762 and 48,192.75 is: 75,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 48,192.75 = 48,192.75 : x
  2. Step 2: Convert to fraction form
    30,762/48,192.75 = 48,192.75/x
  3. Step 3: Cross multiply
    30,762x = 48,192.75 × 48,192.75
  4. Step 4: Simplify right side
    30,762x = 2,322,541,152.56
  5. Step 5: Solve for x
    x = 2,322,541,152.56/30,762
  6. Step 6: Final answer
    x = 75,500.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.