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Finding the Third Proportional to 1,596 and 2,156

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Solution

The third proportional to 1,596 and 2,156 is: 2,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596 : 2,156 = 2,156 : x
  2. Step 2: Convert to fraction form
    1,596/2,156 = 2,156/x
  3. Step 3: Cross multiply
    1,596x = 2,156 × 2,156
  4. Step 4: Simplify right side
    1,596x = 4,648,336
  5. Step 5: Solve for x
    x = 4,648,336/1,596
  6. Step 6: Final answer
    x = 2,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.