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Finding the Third Proportional to 5,467.50 and 11,998.60

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Solution

The third proportional to 5,467.50 and 11,998.60 is: 26,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.50 : 11,998.60 = 11,998.60 : x
  2. Step 2: Convert to fraction form
    5,467.50/11,998.60 = 11,998.60/x
  3. Step 3: Cross multiply
    5,467.50x = 11,998.60 × 11,998.60
  4. Step 4: Simplify right side
    5,467.50x = 143,966,392.59
  5. Step 5: Solve for x
    x = 143,966,392.59/5,467.50
  6. Step 6: Final answer
    x = 26,331.30

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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.