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Finding the Third Proportional to 5,629.50 and 11,000.25

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Solution

The third proportional to 5,629.50 and 11,000.25 is: 21,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.50 : 11,000.25 = 11,000.25 : x
  2. Step 2: Convert to fraction form
    5,629.50/11,000.25 = 11,000.25/x
  3. Step 3: Cross multiply
    5,629.50x = 11,000.25 × 11,000.25
  4. Step 4: Simplify right side
    5,629.50x = 121,005,500.06
  5. Step 5: Solve for x
    x = 121,005,500.06/5,629.50
  6. Step 6: Final answer
    x = 21,494.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.