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Finding the Third Proportional to 2,348.75 and 3,283.75

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Solution

The third proportional to 2,348.75 and 3,283.75 is: 4,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.75 : 3,283.75 = 3,283.75 : x
  2. Step 2: Convert to fraction form
    2,348.75/3,283.75 = 3,283.75/x
  3. Step 3: Cross multiply
    2,348.75x = 3,283.75 × 3,283.75
  4. Step 4: Simplify right side
    2,348.75x = 10,783,014.06
  5. Step 5: Solve for x
    x = 10,783,014.06/2,348.75
  6. Step 6: Final answer
    x = 4,590.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.