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Finding the Third Proportional to 858.38 and 1,885.50

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Solution

The third proportional to 858.38 and 1,885.50 is: 4,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,885.50 = 1,885.50 : x
  2. Step 2: Convert to fraction form
    858.38/1,885.50 = 1,885.50/x
  3. Step 3: Cross multiply
    858.38x = 1,885.50 × 1,885.50
  4. Step 4: Simplify right side
    858.38x = 3,555,110.25
  5. Step 5: Solve for x
    x = 3,555,110.25/858.38
  6. Step 6: Final answer
    x = 4,141.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.