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Finding the Third Proportional to 20,765.44 and 32,214.56

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Solution

The third proportional to 20,765.44 and 32,214.56 is: 49,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.44 : 32,214.56 = 32,214.56 : x
  2. Step 2: Convert to fraction form
    20,765.44/32,214.56 = 32,214.56/x
  3. Step 3: Cross multiply
    20,765.44x = 32,214.56 × 32,214.56
  4. Step 4: Simplify right side
    20,765.44x = 1,037,778,037.07
  5. Step 5: Solve for x
    x = 1,037,778,037.07/20,765.44
  6. Step 6: Final answer
    x = 49,976.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.