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Finding the Third Proportional to 30,758.06 and 48,186.56

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Solution

The third proportional to 30,758.06 and 48,186.56 is: 75,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.06 : 48,186.56 = 48,186.56 : x
  2. Step 2: Convert to fraction form
    30,758.06/48,186.56 = 48,186.56/x
  3. Step 3: Cross multiply
    30,758.06x = 48,186.56 × 48,186.56
  4. Step 4: Simplify right side
    30,758.06x = 2,321,944,805.57
  5. Step 5: Solve for x
    x = 2,321,944,805.57/30,758.06
  6. Step 6: Final answer
    x = 75,490.61

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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.