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Finding the Third Proportional to 38,378 and 57,603

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Solution

The third proportional to 38,378 and 57,603 is: 86,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 57,603 = 57,603 : x
  2. Step 2: Convert to fraction form
    38,378/57,603 = 57,603/x
  3. Step 3: Cross multiply
    38,378x = 57,603 × 57,603
  4. Step 4: Simplify right side
    38,378x = 3,318,105,609
  5. Step 5: Solve for x
    x = 3,318,105,609/38,378
  6. Step 6: Final answer
    x = 86,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.