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Finding the Third Proportional to 1,823.50 and 4,011.50

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Solution

The third proportional to 1,823.50 and 4,011.50 is: 8,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.50 : 4,011.50 = 4,011.50 : x
  2. Step 2: Convert to fraction form
    1,823.50/4,011.50 = 4,011.50/x
  3. Step 3: Cross multiply
    1,823.50x = 4,011.50 × 4,011.50
  4. Step 4: Simplify right side
    1,823.50x = 16,092,132.25
  5. Step 5: Solve for x
    x = 16,092,132.25/1,823.50
  6. Step 6: Final answer
    x = 8,824.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.