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Finding the Third Proportional to 9,589.50 and 20,319.75

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Solution

The third proportional to 9,589.50 and 20,319.75 is: 43,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.50 : 20,319.75 = 20,319.75 : x
  2. Step 2: Convert to fraction form
    9,589.50/20,319.75 = 20,319.75/x
  3. Step 3: Cross multiply
    9,589.50x = 20,319.75 × 20,319.75
  4. Step 4: Simplify right side
    9,589.50x = 412,892,240.06
  5. Step 5: Solve for x
    x = 412,892,240.06/9,589.50
  6. Step 6: Final answer
    x = 43,056.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.