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Finding the Third Proportional to 6,615.94 and 9,404.06

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Solution

The third proportional to 6,615.94 and 9,404.06 is: 13,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.94 : 9,404.06 = 9,404.06 : x
  2. Step 2: Convert to fraction form
    6,615.94/9,404.06 = 9,404.06/x
  3. Step 3: Cross multiply
    6,615.94x = 9,404.06 × 9,404.06
  4. Step 4: Simplify right side
    6,615.94x = 88,436,391.50
  5. Step 5: Solve for x
    x = 88,436,391.50/6,615.94
  6. Step 6: Final answer
    x = 13,367.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.