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Finding the Third Proportional to 1,181.07 and 2,483.87

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Solution

The third proportional to 1,181.07 and 2,483.87 is: 5,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.07 : 2,483.87 = 2,483.87 : x
  2. Step 2: Convert to fraction form
    1,181.07/2,483.87 = 2,483.87/x
  3. Step 3: Cross multiply
    1,181.07x = 2,483.87 × 2,483.87
  4. Step 4: Simplify right side
    1,181.07x = 6,169,601.06
  5. Step 5: Solve for x
    x = 6,169,601.06/1,181.07
  6. Step 6: Final answer
    x = 5,223.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.