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Finding the Third Proportional to 41,998.50 and 66,919.50

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Solution

The third proportional to 41,998.50 and 66,919.50 is: 106,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,998.50 : 66,919.50 = 66,919.50 : x
  2. Step 2: Convert to fraction form
    41,998.50/66,919.50 = 66,919.50/x
  3. Step 3: Cross multiply
    41,998.50x = 66,919.50 × 66,919.50
  4. Step 4: Simplify right side
    41,998.50x = 4,478,219,480.25
  5. Step 5: Solve for x
    x = 4,478,219,480.25/41,998.50
  6. Step 6: Final answer
    x = 106,628.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.