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Finding the Third Proportional to 1,823.50 and 3,999.88

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Solution

The third proportional to 1,823.50 and 3,999.88 is: 8,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.50 : 3,999.88 = 3,999.88 : x
  2. Step 2: Convert to fraction form
    1,823.50/3,999.88 = 3,999.88/x
  3. Step 3: Cross multiply
    1,823.50x = 3,999.88 × 3,999.88
  4. Step 4: Simplify right side
    1,823.50x = 15,999,000.02
  5. Step 5: Solve for x
    x = 15,999,000.02/1,823.50
  6. Step 6: Final answer
    x = 8,773.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.