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Finding the Third Proportional to 5,833.50 and 10,479

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Solution

The third proportional to 5,833.50 and 10,479 is: 18,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.50 : 10,479 = 10,479 : x
  2. Step 2: Convert to fraction form
    5,833.50/10,479 = 10,479/x
  3. Step 3: Cross multiply
    5,833.50x = 10,479 × 10,479
  4. Step 4: Simplify right side
    5,833.50x = 109,809,441
  5. Step 5: Solve for x
    x = 109,809,441/5,833.50
  6. Step 6: Final answer
    x = 18,823.94

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.