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Finding the Third Proportional to 2,883 and 6,784.50

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Solution

The third proportional to 2,883 and 6,784.50 is: 15,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 6,784.50 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    2,883/6,784.50 = 6,784.50/x
  3. Step 3: Cross multiply
    2,883x = 6,784.50 × 6,784.50
  4. Step 4: Simplify right side
    2,883x = 46,029,440.25
  5. Step 5: Solve for x
    x = 46,029,440.25/2,883
  6. Step 6: Final answer
    x = 15,965.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.