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Finding the Third Proportional to 1,303.88 and 2,786.63

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Solution

The third proportional to 1,303.88 and 2,786.63 is: 5,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.88 : 2,786.63 = 2,786.63 : x
  2. Step 2: Convert to fraction form
    1,303.88/2,786.63 = 2,786.63/x
  3. Step 3: Cross multiply
    1,303.88x = 2,786.63 × 2,786.63
  4. Step 4: Simplify right side
    1,303.88x = 7,765,278.89
  5. Step 5: Solve for x
    x = 7,765,278.89/1,303.88
  6. Step 6: Final answer
    x = 5,955.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.