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Finding the Third Proportional to 3,494.81 and 7,603.03

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Solution

The third proportional to 3,494.81 and 7,603.03 is: 16,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.81 : 7,603.03 = 7,603.03 : x
  2. Step 2: Convert to fraction form
    3,494.81/7,603.03 = 7,603.03/x
  3. Step 3: Cross multiply
    3,494.81x = 7,603.03 × 7,603.03
  4. Step 4: Simplify right side
    3,494.81x = 57,806,084.19
  5. Step 5: Solve for x
    x = 57,806,084.19/3,494.81
  6. Step 6: Final answer
    x = 16,540.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.