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Finding the Third Proportional to 4,839.75 and 9,603

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Solution

The third proportional to 4,839.75 and 9,603 is: 19,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.75 : 9,603 = 9,603 : x
  2. Step 2: Convert to fraction form
    4,839.75/9,603 = 9,603/x
  3. Step 3: Cross multiply
    4,839.75x = 9,603 × 9,603
  4. Step 4: Simplify right side
    4,839.75x = 92,217,609
  5. Step 5: Solve for x
    x = 92,217,609/4,839.75
  6. Step 6: Final answer
    x = 19,054.21

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.