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Finding the Third Proportional to 1,674.84 and 3,673.69

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Solution

The third proportional to 1,674.84 and 3,673.69 is: 8,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.84 : 3,673.69 = 3,673.69 : x
  2. Step 2: Convert to fraction form
    1,674.84/3,673.69 = 3,673.69/x
  3. Step 3: Cross multiply
    1,674.84x = 3,673.69 × 3,673.69
  4. Step 4: Simplify right side
    1,674.84x = 13,495,979.85
  5. Step 5: Solve for x
    x = 13,495,979.85/1,674.84
  6. Step 6: Final answer
    x = 8,058.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.