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Finding the Third Proportional to 869.63 and 2,022.19

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Solution

The third proportional to 869.63 and 2,022.19 is: 4,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 2,022.19 = 2,022.19 : x
  2. Step 2: Convert to fraction form
    869.63/2,022.19 = 2,022.19/x
  3. Step 3: Cross multiply
    869.63x = 2,022.19 × 2,022.19
  4. Step 4: Simplify right side
    869.63x = 4,089,242.29
  5. Step 5: Solve for x
    x = 4,089,242.29/869.63
  6. Step 6: Final answer
    x = 4,702.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.