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Finding the Third Proportional to 4,858.10 and 7,022.32

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Solution

The third proportional to 4,858.10 and 7,022.32 is: 10,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.10 : 7,022.32 = 7,022.32 : x
  2. Step 2: Convert to fraction form
    4,858.10/7,022.32 = 7,022.32/x
  3. Step 3: Cross multiply
    4,858.10x = 7,022.32 × 7,022.32
  4. Step 4: Simplify right side
    4,858.10x = 49,312,982.57
  5. Step 5: Solve for x
    x = 49,312,982.57/4,858.10
  6. Step 6: Final answer
    x = 10,150.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.