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Finding the Third Proportional to 9,353.25 and 20,782.88

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Solution

The third proportional to 9,353.25 and 20,782.88 is: 46,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.25 : 20,782.88 = 20,782.88 : x
  2. Step 2: Convert to fraction form
    9,353.25/20,782.88 = 20,782.88/x
  3. Step 3: Cross multiply
    9,353.25x = 20,782.88 × 20,782.88
  4. Step 4: Simplify right side
    9,353.25x = 431,927,893.27
  5. Step 5: Solve for x
    x = 431,927,893.27/9,353.25
  6. Step 6: Final answer
    x = 46,179.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.