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Finding the Third Proportional to 1,717.03 and 3,698.58

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Solution

The third proportional to 1,717.03 and 3,698.58 is: 7,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.03 : 3,698.58 = 3,698.58 : x
  2. Step 2: Convert to fraction form
    1,717.03/3,698.58 = 3,698.58/x
  3. Step 3: Cross multiply
    1,717.03x = 3,698.58 × 3,698.58
  4. Step 4: Simplify right side
    1,717.03x = 13,679,480.15
  5. Step 5: Solve for x
    x = 13,679,480.15/1,717.03
  6. Step 6: Final answer
    x = 7,966.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.