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Finding the Third Proportional to 1,719.77 and 2,548.34

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Solution

The third proportional to 1,719.77 and 2,548.34 is: 3,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.77 : 2,548.34 = 2,548.34 : x
  2. Step 2: Convert to fraction form
    1,719.77/2,548.34 = 2,548.34/x
  3. Step 3: Cross multiply
    1,719.77x = 2,548.34 × 2,548.34
  4. Step 4: Simplify right side
    1,719.77x = 6,494,016.05
  5. Step 5: Solve for x
    x = 6,494,016.05/1,719.77
  6. Step 6: Final answer
    x = 3,776.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.