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Finding the Third Proportional to 10,064 and 14,800

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Solution

The third proportional to 10,064 and 14,800 is: 21,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064 : 14,800 = 14,800 : x
  2. Step 2: Convert to fraction form
    10,064/14,800 = 14,800/x
  3. Step 3: Cross multiply
    10,064x = 14,800 × 14,800
  4. Step 4: Simplify right side
    10,064x = 219,040,000
  5. Step 5: Solve for x
    x = 219,040,000/10,064
  6. Step 6: Final answer
    x = 21,764.71

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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.