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Finding the Third Proportional to 5,254.55 and 10,995.94

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Solution

The third proportional to 5,254.55 and 10,995.94 is: 23,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.55 : 10,995.94 = 10,995.94 : x
  2. Step 2: Convert to fraction form
    5,254.55/10,995.94 = 10,995.94/x
  3. Step 3: Cross multiply
    5,254.55x = 10,995.94 × 10,995.94
  4. Step 4: Simplify right side
    5,254.55x = 120,910,641.50
  5. Step 5: Solve for x
    x = 120,910,641.50/5,254.55
  6. Step 6: Final answer
    x = 23,010.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.