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Finding the Third Proportional to 1,714.92 and 3,709.55

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Solution

The third proportional to 1,714.92 and 3,709.55 is: 8,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.92 : 3,709.55 = 3,709.55 : x
  2. Step 2: Convert to fraction form
    1,714.92/3,709.55 = 3,709.55/x
  3. Step 3: Cross multiply
    1,714.92x = 3,709.55 × 3,709.55
  4. Step 4: Simplify right side
    1,714.92x = 13,760,738.02
  5. Step 5: Solve for x
    x = 13,760,738.02/1,714.92
  6. Step 6: Final answer
    x = 8,024.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.