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Finding the Third Proportional to 1,205.51 and 2,615.41

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Solution

The third proportional to 1,205.51 and 2,615.41 is: 5,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.51 : 2,615.41 = 2,615.41 : x
  2. Step 2: Convert to fraction form
    1,205.51/2,615.41 = 2,615.41/x
  3. Step 3: Cross multiply
    1,205.51x = 2,615.41 × 2,615.41
  4. Step 4: Simplify right side
    1,205.51x = 6,840,390.72
  5. Step 5: Solve for x
    x = 6,840,390.72/1,205.51
  6. Step 6: Final answer
    x = 5,674.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.