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Finding the Third Proportional to 2,784.38 and 4,181.63

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Solution

The third proportional to 2,784.38 and 4,181.63 is: 6,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 4,181.63 = 4,181.63 : x
  2. Step 2: Convert to fraction form
    2,784.38/4,181.63 = 4,181.63/x
  3. Step 3: Cross multiply
    2,784.38x = 4,181.63 × 4,181.63
  4. Step 4: Simplify right side
    2,784.38x = 17,485,987.64
  5. Step 5: Solve for x
    x = 17,485,987.64/2,784.38
  6. Step 6: Final answer
    x = 6,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.