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Finding the Third Proportional to 4,538 and 5,903

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Solution

The third proportional to 4,538 and 5,903 is: 7,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538 : 5,903 = 5,903 : x
  2. Step 2: Convert to fraction form
    4,538/5,903 = 5,903/x
  3. Step 3: Cross multiply
    4,538x = 5,903 × 5,903
  4. Step 4: Simplify right side
    4,538x = 34,845,409
  5. Step 5: Solve for x
    x = 34,845,409/4,538
  6. Step 6: Final answer
    x = 7,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.