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Finding the Third Proportional to 13,910 and 30,084

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Solution

The third proportional to 13,910 and 30,084 is: 65,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910 : 30,084 = 30,084 : x
  2. Step 2: Convert to fraction form
    13,910/30,084 = 30,084/x
  3. Step 3: Cross multiply
    13,910x = 30,084 × 30,084
  4. Step 4: Simplify right side
    13,910x = 905,047,056
  5. Step 5: Solve for x
    x = 905,047,056/13,910
  6. Step 6: Final answer
    x = 65,064.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.