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Finding the Third Proportional to 1,015.03 and 1,518.47

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Solution

The third proportional to 1,015.03 and 1,518.47 is: 2,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.03 : 1,518.47 = 1,518.47 : x
  2. Step 2: Convert to fraction form
    1,015.03/1,518.47 = 1,518.47/x
  3. Step 3: Cross multiply
    1,015.03x = 1,518.47 × 1,518.47
  4. Step 4: Simplify right side
    1,015.03x = 2,305,747.34
  5. Step 5: Solve for x
    x = 2,305,747.34/1,015.03
  6. Step 6: Final answer
    x = 2,271.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.