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Finding the Third Proportional to 2,211.05 and 4,762.55

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Solution

The third proportional to 2,211.05 and 4,762.55 is: 10,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.05 : 4,762.55 = 4,762.55 : x
  2. Step 2: Convert to fraction form
    2,211.05/4,762.55 = 4,762.55/x
  3. Step 3: Cross multiply
    2,211.05x = 4,762.55 × 4,762.55
  4. Step 4: Simplify right side
    2,211.05x = 22,681,852.74
  5. Step 5: Solve for x
    x = 22,681,852.74/2,211.05
  6. Step 6: Final answer
    x = 10,258.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.