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Finding the Third Proportional to 5,142.94 and 11,087.44

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Solution

The third proportional to 5,142.94 and 11,087.44 is: 23,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.94 : 11,087.44 = 11,087.44 : x
  2. Step 2: Convert to fraction form
    5,142.94/11,087.44 = 11,087.44/x
  3. Step 3: Cross multiply
    5,142.94x = 11,087.44 × 11,087.44
  4. Step 4: Simplify right side
    5,142.94x = 122,931,270.32
  5. Step 5: Solve for x
    x = 122,931,270.32/5,142.94
  6. Step 6: Final answer
    x = 23,902.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.