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Finding the Third Proportional to 2,085.75 and 3,153.30

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Solution

The third proportional to 2,085.75 and 3,153.30 is: 4,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.75 : 3,153.30 = 3,153.30 : x
  2. Step 2: Convert to fraction form
    2,085.75/3,153.30 = 3,153.30/x
  3. Step 3: Cross multiply
    2,085.75x = 3,153.30 × 3,153.30
  4. Step 4: Simplify right side
    2,085.75x = 9,943,330.45
  5. Step 5: Solve for x
    x = 9,943,330.45/2,085.75
  6. Step 6: Final answer
    x = 4,767.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.