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Finding the Third Proportional to 1,706.06 and 3,267.84

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Solution

The third proportional to 1,706.06 and 3,267.84 is: 6,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.06 : 3,267.84 = 3,267.84 : x
  2. Step 2: Convert to fraction form
    1,706.06/3,267.84 = 3,267.84/x
  3. Step 3: Cross multiply
    1,706.06x = 3,267.84 × 3,267.84
  4. Step 4: Simplify right side
    1,706.06x = 10,678,802.77
  5. Step 5: Solve for x
    x = 10,678,802.77/1,706.06
  6. Step 6: Final answer
    x = 6,259.33

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.