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Finding the Third Proportional to 19,805.50 and 30,923.25

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Solution

The third proportional to 19,805.50 and 30,923.25 is: 48,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.50 : 30,923.25 = 30,923.25 : x
  2. Step 2: Convert to fraction form
    19,805.50/30,923.25 = 30,923.25/x
  3. Step 3: Cross multiply
    19,805.50x = 30,923.25 × 30,923.25
  4. Step 4: Simplify right side
    19,805.50x = 956,247,390.56
  5. Step 5: Solve for x
    x = 956,247,390.56/19,805.50
  6. Step 6: Final answer
    x = 48,281.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.