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Finding the Third Proportional to 1,306 and 1,903

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Solution

The third proportional to 1,306 and 1,903 is: 2,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306 : 1,903 = 1,903 : x
  2. Step 2: Convert to fraction form
    1,306/1,903 = 1,903/x
  3. Step 3: Cross multiply
    1,306x = 1,903 × 1,903
  4. Step 4: Simplify right side
    1,306x = 3,621,409
  5. Step 5: Solve for x
    x = 3,621,409/1,306
  6. Step 6: Final answer
    x = 2,772.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.