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Finding the Third Proportional to 3,467.95 and 5,288.48

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Solution

The third proportional to 3,467.95 and 5,288.48 is: 8,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.95 : 5,288.48 = 5,288.48 : x
  2. Step 2: Convert to fraction form
    3,467.95/5,288.48 = 5,288.48/x
  3. Step 3: Cross multiply
    3,467.95x = 5,288.48 × 5,288.48
  4. Step 4: Simplify right side
    3,467.95x = 27,968,066.98
  5. Step 5: Solve for x
    x = 27,968,066.98/3,467.95
  6. Step 6: Final answer
    x = 8,064.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.