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Finding the Third Proportional to 5,196.38 and 11,364.75

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Solution

The third proportional to 5,196.38 and 11,364.75 is: 24,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.38 : 11,364.75 = 11,364.75 : x
  2. Step 2: Convert to fraction form
    5,196.38/11,364.75 = 11,364.75/x
  3. Step 3: Cross multiply
    5,196.38x = 11,364.75 × 11,364.75
  4. Step 4: Simplify right side
    5,196.38x = 129,157,542.56
  5. Step 5: Solve for x
    x = 129,157,542.56/5,196.38
  6. Step 6: Final answer
    x = 24,855.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.