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Finding the Third Proportional to 12,074 and 20,619

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Solution

The third proportional to 12,074 and 20,619 is: 35,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074 : 20,619 = 20,619 : x
  2. Step 2: Convert to fraction form
    12,074/20,619 = 20,619/x
  3. Step 3: Cross multiply
    12,074x = 20,619 × 20,619
  4. Step 4: Simplify right side
    12,074x = 425,143,161
  5. Step 5: Solve for x
    x = 425,143,161/12,074
  6. Step 6: Final answer
    x = 35,211.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.