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Finding the Third Proportional to 3,418.88 and 7,509.38

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Solution

The third proportional to 3,418.88 and 7,509.38 is: 16,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.88 : 7,509.38 = 7,509.38 : x
  2. Step 2: Convert to fraction form
    3,418.88/7,509.38 = 7,509.38/x
  3. Step 3: Cross multiply
    3,418.88x = 7,509.38 × 7,509.38
  4. Step 4: Simplify right side
    3,418.88x = 56,390,712.89
  5. Step 5: Solve for x
    x = 56,390,712.89/3,418.88
  6. Step 6: Final answer
    x = 16,493.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.