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Finding the Third Proportional to 1,716.84 and 3,676.69

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Solution

The third proportional to 1,716.84 and 3,676.69 is: 7,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.84 : 3,676.69 = 3,676.69 : x
  2. Step 2: Convert to fraction form
    1,716.84/3,676.69 = 3,676.69/x
  3. Step 3: Cross multiply
    1,716.84x = 3,676.69 × 3,676.69
  4. Step 4: Simplify right side
    1,716.84x = 13,518,030.97
  5. Step 5: Solve for x
    x = 13,518,030.97/1,716.84
  6. Step 6: Final answer
    x = 7,873.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.