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Finding the Third Proportional to 1,714.92 and 2,596.43

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Solution

The third proportional to 1,714.92 and 2,596.43 is: 3,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.92 : 2,596.43 = 2,596.43 : x
  2. Step 2: Convert to fraction form
    1,714.92/2,596.43 = 2,596.43/x
  3. Step 3: Cross multiply
    1,714.92x = 2,596.43 × 2,596.43
  4. Step 4: Simplify right side
    1,714.92x = 6,741,447.12
  5. Step 5: Solve for x
    x = 6,741,447.12/1,714.92
  6. Step 6: Final answer
    x = 3,931.05

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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.