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Finding the Third Proportional to 2,063 and 3,156

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Solution

The third proportional to 2,063 and 3,156 is: 4,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063 : 3,156 = 3,156 : x
  2. Step 2: Convert to fraction form
    2,063/3,156 = 3,156/x
  3. Step 3: Cross multiply
    2,063x = 3,156 × 3,156
  4. Step 4: Simplify right side
    2,063x = 9,960,336
  5. Step 5: Solve for x
    x = 9,960,336/2,063
  6. Step 6: Final answer
    x = 4,828.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.