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Finding the Third Proportional to 1,775.50 and 3,827

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Solution

The third proportional to 1,775.50 and 3,827 is: 8,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.50 : 3,827 = 3,827 : x
  2. Step 2: Convert to fraction form
    1,775.50/3,827 = 3,827/x
  3. Step 3: Cross multiply
    1,775.50x = 3,827 × 3,827
  4. Step 4: Simplify right side
    1,775.50x = 14,645,929
  5. Step 5: Solve for x
    x = 14,645,929/1,775.50
  6. Step 6: Final answer
    x = 8,248.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.