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Finding the Third Proportional to 3,903 and 6,206.25

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Solution

The third proportional to 3,903 and 6,206.25 is: 9,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 6,206.25 = 6,206.25 : x
  2. Step 2: Convert to fraction form
    3,903/6,206.25 = 6,206.25/x
  3. Step 3: Cross multiply
    3,903x = 6,206.25 × 6,206.25
  4. Step 4: Simplify right side
    3,903x = 38,517,539.06
  5. Step 5: Solve for x
    x = 38,517,539.06/3,903
  6. Step 6: Final answer
    x = 9,868.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.