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Finding the Third Proportional to 1,814.34 and 2,714.48

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Solution

The third proportional to 1,814.34 and 2,714.48 is: 4,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.34 : 2,714.48 = 2,714.48 : x
  2. Step 2: Convert to fraction form
    1,814.34/2,714.48 = 2,714.48/x
  3. Step 3: Cross multiply
    1,814.34x = 2,714.48 × 2,714.48
  4. Step 4: Simplify right side
    1,814.34x = 7,368,425.42
  5. Step 5: Solve for x
    x = 7,368,425.42/1,814.34
  6. Step 6: Final answer
    x = 4,061.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.