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Finding the Third Proportional to 1,748.50 and 3,815

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Solution

The third proportional to 1,748.50 and 3,815 is: 8,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.50 : 3,815 = 3,815 : x
  2. Step 2: Convert to fraction form
    1,748.50/3,815 = 3,815/x
  3. Step 3: Cross multiply
    1,748.50x = 3,815 × 3,815
  4. Step 4: Simplify right side
    1,748.50x = 14,554,225
  5. Step 5: Solve for x
    x = 14,554,225/1,748.50
  6. Step 6: Final answer
    x = 8,323.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.