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Finding the Third Proportional to 1,666 and 3,596

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Solution

The third proportional to 1,666 and 3,596 is: 7,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 3,596 = 3,596 : x
  2. Step 2: Convert to fraction form
    1,666/3,596 = 3,596/x
  3. Step 3: Cross multiply
    1,666x = 3,596 × 3,596
  4. Step 4: Simplify right side
    1,666x = 12,931,216
  5. Step 5: Solve for x
    x = 12,931,216/1,666
  6. Step 6: Final answer
    x = 7,761.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.