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Finding the Third Proportional to 1,530 and 2,778

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Solution

The third proportional to 1,530 and 2,778 is: 5,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530 : 2,778 = 2,778 : x
  2. Step 2: Convert to fraction form
    1,530/2,778 = 2,778/x
  3. Step 3: Cross multiply
    1,530x = 2,778 × 2,778
  4. Step 4: Simplify right side
    1,530x = 7,717,284
  5. Step 5: Solve for x
    x = 7,717,284/1,530
  6. Step 6: Final answer
    x = 5,043.98

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.