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Finding the Third Proportional to 1,674.84 and 3,638.25

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Solution

The third proportional to 1,674.84 and 3,638.25 is: 7,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.84 : 3,638.25 = 3,638.25 : x
  2. Step 2: Convert to fraction form
    1,674.84/3,638.25 = 3,638.25/x
  3. Step 3: Cross multiply
    1,674.84x = 3,638.25 × 3,638.25
  4. Step 4: Simplify right side
    1,674.84x = 13,236,863.06
  5. Step 5: Solve for x
    x = 13,236,863.06/1,674.84
  6. Step 6: Final answer
    x = 7,903.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.