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Finding the Third Proportional to 14,368 and 33,064

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Solution

The third proportional to 14,368 and 33,064 is: 76,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368 : 33,064 = 33,064 : x
  2. Step 2: Convert to fraction form
    14,368/33,064 = 33,064/x
  3. Step 3: Cross multiply
    14,368x = 33,064 × 33,064
  4. Step 4: Simplify right side
    14,368x = 1,093,228,096
  5. Step 5: Solve for x
    x = 1,093,228,096/14,368
  6. Step 6: Final answer
    x = 76,087.70

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.