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Finding the Third Proportional to 2,423.25 and 3,236.63

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Solution

The third proportional to 2,423.25 and 3,236.63 is: 4,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.25 : 3,236.63 = 3,236.63 : x
  2. Step 2: Convert to fraction form
    2,423.25/3,236.63 = 3,236.63/x
  3. Step 3: Cross multiply
    2,423.25x = 3,236.63 × 3,236.63
  4. Step 4: Simplify right side
    2,423.25x = 10,475,741.39
  5. Step 5: Solve for x
    x = 10,475,741.39/2,423.25
  6. Step 6: Final answer
    x = 4,323.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.