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Finding the Third Proportional to 16,232.25 and 20,741.25

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Solution

The third proportional to 16,232.25 and 20,741.25 is: 26,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.25 : 20,741.25 = 20,741.25 : x
  2. Step 2: Convert to fraction form
    16,232.25/20,741.25 = 20,741.25/x
  3. Step 3: Cross multiply
    16,232.25x = 20,741.25 × 20,741.25
  4. Step 4: Simplify right side
    16,232.25x = 430,199,451.56
  5. Step 5: Solve for x
    x = 430,199,451.56/16,232.25
  6. Step 6: Final answer
    x = 26,502.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.