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Finding the Third Proportional to 2,309.63 and 3,121.31

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Solution

The third proportional to 2,309.63 and 3,121.31 is: 4,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.63 : 3,121.31 = 3,121.31 : x
  2. Step 2: Convert to fraction form
    2,309.63/3,121.31 = 3,121.31/x
  3. Step 3: Cross multiply
    2,309.63x = 3,121.31 × 3,121.31
  4. Step 4: Simplify right side
    2,309.63x = 9,742,591.72
  5. Step 5: Solve for x
    x = 9,742,591.72/2,309.63
  6. Step 6: Final answer
    x = 4,218.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.