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Finding the Third Proportional to 23,189.63 and 32,759.44

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Solution

The third proportional to 23,189.63 and 32,759.44 is: 46,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.63 : 32,759.44 = 32,759.44 : x
  2. Step 2: Convert to fraction form
    23,189.63/32,759.44 = 32,759.44/x
  3. Step 3: Cross multiply
    23,189.63x = 32,759.44 × 32,759.44
  4. Step 4: Simplify right side
    23,189.63x = 1,073,180,745.32
  5. Step 5: Solve for x
    x = 1,073,180,745.32/23,189.63
  6. Step 6: Final answer
    x = 46,278.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.