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Finding the Third Proportional to 1,551.63 and 2,396.63

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Solution

The third proportional to 1,551.63 and 2,396.63 is: 3,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.63 : 2,396.63 = 2,396.63 : x
  2. Step 2: Convert to fraction form
    1,551.63/2,396.63 = 2,396.63/x
  3. Step 3: Cross multiply
    1,551.63x = 2,396.63 × 2,396.63
  4. Step 4: Simplify right side
    1,551.63x = 5,743,811.39
  5. Step 5: Solve for x
    x = 5,743,811.39/1,551.63
  6. Step 6: Final answer
    x = 3,701.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.