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Finding the Third Proportional to 15,093.25 and 22,176.75

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Solution

The third proportional to 15,093.25 and 22,176.75 is: 32,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.25 : 22,176.75 = 22,176.75 : x
  2. Step 2: Convert to fraction form
    15,093.25/22,176.75 = 22,176.75/x
  3. Step 3: Cross multiply
    15,093.25x = 22,176.75 × 22,176.75
  4. Step 4: Simplify right side
    15,093.25x = 491,808,240.56
  5. Step 5: Solve for x
    x = 491,808,240.56/15,093.25
  6. Step 6: Final answer
    x = 32,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.