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Finding the Third Proportional to 2,946.75 and 5,427.75

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Solution

The third proportional to 2,946.75 and 5,427.75 is: 9,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.75 : 5,427.75 = 5,427.75 : x
  2. Step 2: Convert to fraction form
    2,946.75/5,427.75 = 5,427.75/x
  3. Step 3: Cross multiply
    2,946.75x = 5,427.75 × 5,427.75
  4. Step 4: Simplify right side
    2,946.75x = 29,460,470.06
  5. Step 5: Solve for x
    x = 29,460,470.06/2,946.75
  6. Step 6: Final answer
    x = 9,997.61

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.