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Finding the Third Proportional to 1,168.03 and 2,509.59

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Solution

The third proportional to 1,168.03 and 2,509.59 is: 5,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.03 : 2,509.59 = 2,509.59 : x
  2. Step 2: Convert to fraction form
    1,168.03/2,509.59 = 2,509.59/x
  3. Step 3: Cross multiply
    1,168.03x = 2,509.59 × 2,509.59
  4. Step 4: Simplify right side
    1,168.03x = 6,298,060.79
  5. Step 5: Solve for x
    x = 6,298,060.79/1,168.03
  6. Step 6: Final answer
    x = 5,392.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.