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Finding the Third Proportional to 19,825.50 and 30,703.50

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Solution

The third proportional to 19,825.50 and 30,703.50 is: 47,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.50 : 30,703.50 = 30,703.50 : x
  2. Step 2: Convert to fraction form
    19,825.50/30,703.50 = 30,703.50/x
  3. Step 3: Cross multiply
    19,825.50x = 30,703.50 × 30,703.50
  4. Step 4: Simplify right side
    19,825.50x = 942,704,912.25
  5. Step 5: Solve for x
    x = 942,704,912.25/19,825.50
  6. Step 6: Final answer
    x = 47,550.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.