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Finding the Third Proportional to 22,027.50 and 38,884.50

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Solution

The third proportional to 22,027.50 and 38,884.50 is: 68,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.50 : 38,884.50 = 38,884.50 : x
  2. Step 2: Convert to fraction form
    22,027.50/38,884.50 = 38,884.50/x
  3. Step 3: Cross multiply
    22,027.50x = 38,884.50 × 38,884.50
  4. Step 4: Simplify right side
    22,027.50x = 1,512,004,340.25
  5. Step 5: Solve for x
    x = 1,512,004,340.25/22,027.50
  6. Step 6: Final answer
    x = 68,641.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.