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Finding the Third Proportional to 8,594.25 and 18,273.75

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Solution

The third proportional to 8,594.25 and 18,273.75 is: 38,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.25 : 18,273.75 = 18,273.75 : x
  2. Step 2: Convert to fraction form
    8,594.25/18,273.75 = 18,273.75/x
  3. Step 3: Cross multiply
    8,594.25x = 18,273.75 × 18,273.75
  4. Step 4: Simplify right side
    8,594.25x = 333,929,939.06
  5. Step 5: Solve for x
    x = 333,929,939.06/8,594.25
  6. Step 6: Final answer
    x = 38,855.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.