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Finding the Third Proportional to 2,120.63 and 2,804.63

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Solution

The third proportional to 2,120.63 and 2,804.63 is: 3,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.63 : 2,804.63 = 2,804.63 : x
  2. Step 2: Convert to fraction form
    2,120.63/2,804.63 = 2,804.63/x
  3. Step 3: Cross multiply
    2,120.63x = 2,804.63 × 2,804.63
  4. Step 4: Simplify right side
    2,120.63x = 7,865,921.39
  5. Step 5: Solve for x
    x = 7,865,921.39/2,120.63
  6. Step 6: Final answer
    x = 3,709.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.