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Finding the Third Proportional to 3,493.75 and 5,390.63

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Solution

The third proportional to 3,493.75 and 5,390.63 is: 8,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.75 : 5,390.63 = 5,390.63 : x
  2. Step 2: Convert to fraction form
    3,493.75/5,390.63 = 5,390.63/x
  3. Step 3: Cross multiply
    3,493.75x = 5,390.63 × 5,390.63
  4. Step 4: Simplify right side
    3,493.75x = 29,058,837.89
  5. Step 5: Solve for x
    x = 29,058,837.89/3,493.75
  6. Step 6: Final answer
    x = 8,317.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.