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Finding the Third Proportional to 19,395 and 30,760.50

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Solution

The third proportional to 19,395 and 30,760.50 is: 48,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,395 : 30,760.50 = 30,760.50 : x
  2. Step 2: Convert to fraction form
    19,395/30,760.50 = 30,760.50/x
  3. Step 3: Cross multiply
    19,395x = 30,760.50 × 30,760.50
  4. Step 4: Simplify right side
    19,395x = 946,208,360.25
  5. Step 5: Solve for x
    x = 946,208,360.25/19,395
  6. Step 6: Final answer
    x = 48,786.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.