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Finding the Third Proportional to 10,083 and 14,805

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Solution

The third proportional to 10,083 and 14,805 is: 21,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083 : 14,805 = 14,805 : x
  2. Step 2: Convert to fraction form
    10,083/14,805 = 14,805/x
  3. Step 3: Cross multiply
    10,083x = 14,805 × 14,805
  4. Step 4: Simplify right side
    10,083x = 219,188,025
  5. Step 5: Solve for x
    x = 219,188,025/10,083
  6. Step 6: Final answer
    x = 21,738.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.