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Finding the Third Proportional to 8,350.50 and 19,418.25

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Solution

The third proportional to 8,350.50 and 19,418.25 is: 45,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.50 : 19,418.25 = 19,418.25 : x
  2. Step 2: Convert to fraction form
    8,350.50/19,418.25 = 19,418.25/x
  3. Step 3: Cross multiply
    8,350.50x = 19,418.25 × 19,418.25
  4. Step 4: Simplify right side
    8,350.50x = 377,068,433.06
  5. Step 5: Solve for x
    x = 377,068,433.06/8,350.50
  6. Step 6: Final answer
    x = 45,155.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.