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Finding the Third Proportional to 1,966.36 and 2,706.12

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Solution

The third proportional to 1,966.36 and 2,706.12 is: 3,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.36 : 2,706.12 = 2,706.12 : x
  2. Step 2: Convert to fraction form
    1,966.36/2,706.12 = 2,706.12/x
  3. Step 3: Cross multiply
    1,966.36x = 2,706.12 × 2,706.12
  4. Step 4: Simplify right side
    1,966.36x = 7,323,070.23
  5. Step 5: Solve for x
    x = 7,323,070.23/1,966.36
  6. Step 6: Final answer
    x = 3,724.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.