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Finding the Third Proportional to 2,514.94 and 4,131.56

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Solution

The third proportional to 2,514.94 and 4,131.56 is: 6,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.94 : 4,131.56 = 4,131.56 : x
  2. Step 2: Convert to fraction form
    2,514.94/4,131.56 = 4,131.56/x
  3. Step 3: Cross multiply
    2,514.94x = 4,131.56 × 4,131.56
  4. Step 4: Simplify right side
    2,514.94x = 17,069,808.69
  5. Step 5: Solve for x
    x = 17,069,808.69/2,514.94
  6. Step 6: Final answer
    x = 6,787.37

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.