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Finding the Third Proportional to 9,369.84 and 14,010.05

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Solution

The third proportional to 9,369.84 and 14,010.05 is: 20,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.84 : 14,010.05 = 14,010.05 : x
  2. Step 2: Convert to fraction form
    9,369.84/14,010.05 = 14,010.05/x
  3. Step 3: Cross multiply
    9,369.84x = 14,010.05 × 14,010.05
  4. Step 4: Simplify right side
    9,369.84x = 196,281,413.44
  5. Step 5: Solve for x
    x = 196,281,413.44/9,369.84
  6. Step 6: Final answer
    x = 20,948.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.