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Finding the Third Proportional to 1,085.06 and 1,650.94

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Solution

The third proportional to 1,085.06 and 1,650.94 is: 2,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.06 : 1,650.94 = 1,650.94 : x
  2. Step 2: Convert to fraction form
    1,085.06/1,650.94 = 1,650.94/x
  3. Step 3: Cross multiply
    1,085.06x = 1,650.94 × 1,650.94
  4. Step 4: Simplify right side
    1,085.06x = 2,725,594.63
  5. Step 5: Solve for x
    x = 2,725,594.63/1,085.06
  6. Step 6: Final answer
    x = 2,511.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.