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Finding the Third Proportional to 5,839.50 and 10,347

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Solution

The third proportional to 5,839.50 and 10,347 is: 18,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.50 : 10,347 = 10,347 : x
  2. Step 2: Convert to fraction form
    5,839.50/10,347 = 10,347/x
  3. Step 3: Cross multiply
    5,839.50x = 10,347 × 10,347
  4. Step 4: Simplify right side
    5,839.50x = 107,060,409
  5. Step 5: Solve for x
    x = 107,060,409/5,839.50
  6. Step 6: Final answer
    x = 18,333.83

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.