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Finding the Third Proportional to 3,186 and 3,506

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Solution

The third proportional to 3,186 and 3,506 is: 3,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 3,506 = 3,506 : x
  2. Step 2: Convert to fraction form
    3,186/3,506 = 3,506/x
  3. Step 3: Cross multiply
    3,186x = 3,506 × 3,506
  4. Step 4: Simplify right side
    3,186x = 12,292,036
  5. Step 5: Solve for x
    x = 12,292,036/3,186
  6. Step 6: Final answer
    x = 3,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.