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Finding the Third Proportional to 955.07 and 1,519.70

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Solution

The third proportional to 955.07 and 1,519.70 is: 2,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.07 : 1,519.70 = 1,519.70 : x
  2. Step 2: Convert to fraction form
    955.07/1,519.70 = 1,519.70/x
  3. Step 3: Cross multiply
    955.07x = 1,519.70 × 1,519.70
  4. Step 4: Simplify right side
    955.07x = 2,309,485.72
  5. Step 5: Solve for x
    x = 2,309,485.72/955.07
  6. Step 6: Final answer
    x = 2,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.