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Finding the Third Proportional to 20,609.44 and 31,205.25

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Solution

The third proportional to 20,609.44 and 31,205.25 is: 47,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.44 : 31,205.25 = 31,205.25 : x
  2. Step 2: Convert to fraction form
    20,609.44/31,205.25 = 31,205.25/x
  3. Step 3: Cross multiply
    20,609.44x = 31,205.25 × 31,205.25
  4. Step 4: Simplify right side
    20,609.44x = 973,767,627.56
  5. Step 5: Solve for x
    x = 973,767,627.56/20,609.44
  6. Step 6: Final answer
    x = 47,248.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.