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Finding the Third Proportional to 4,911 and 10,733.25

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Solution

The third proportional to 4,911 and 10,733.25 is: 23,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 10,733.25 = 10,733.25 : x
  2. Step 2: Convert to fraction form
    4,911/10,733.25 = 10,733.25/x
  3. Step 3: Cross multiply
    4,911x = 10,733.25 × 10,733.25
  4. Step 4: Simplify right side
    4,911x = 115,202,655.56
  5. Step 5: Solve for x
    x = 115,202,655.56/4,911
  6. Step 6: Final answer
    x = 23,458.09

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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.