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Finding the Third Proportional to 1,733.63 and 2,664.56

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Solution

The third proportional to 1,733.63 and 2,664.56 is: 4,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.63 : 2,664.56 = 2,664.56 : x
  2. Step 2: Convert to fraction form
    1,733.63/2,664.56 = 2,664.56/x
  3. Step 3: Cross multiply
    1,733.63x = 2,664.56 × 2,664.56
  4. Step 4: Simplify right side
    1,733.63x = 7,099,893.32
  5. Step 5: Solve for x
    x = 7,099,893.32/1,733.63
  6. Step 6: Final answer
    x = 4,095.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.