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Finding the Third Proportional to 5,971 and 9,049.75

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Solution

The third proportional to 5,971 and 9,049.75 is: 13,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 9,049.75 = 9,049.75 : x
  2. Step 2: Convert to fraction form
    5,971/9,049.75 = 9,049.75/x
  3. Step 3: Cross multiply
    5,971x = 9,049.75 × 9,049.75
  4. Step 4: Simplify right side
    5,971x = 81,897,975.06
  5. Step 5: Solve for x
    x = 81,897,975.06/5,971
  6. Step 6: Final answer
    x = 13,715.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.