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Finding the Third Proportional to 1,723.78 and 2,437.17

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Solution

The third proportional to 1,723.78 and 2,437.17 is: 3,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 2,437.17 = 2,437.17 : x
  2. Step 2: Convert to fraction form
    1,723.78/2,437.17 = 2,437.17/x
  3. Step 3: Cross multiply
    1,723.78x = 2,437.17 × 2,437.17
  4. Step 4: Simplify right side
    1,723.78x = 5,939,806.75
  5. Step 5: Solve for x
    x = 5,939,806.75/1,723.78
  6. Step 6: Final answer
    x = 3,445.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.