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Finding the Third Proportional to 37,530 and 58,603

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Solution

The third proportional to 37,530 and 58,603 is: 91,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530 : 58,603 = 58,603 : x
  2. Step 2: Convert to fraction form
    37,530/58,603 = 58,603/x
  3. Step 3: Cross multiply
    37,530x = 58,603 × 58,603
  4. Step 4: Simplify right side
    37,530x = 3,434,311,609
  5. Step 5: Solve for x
    x = 3,434,311,609/37,530
  6. Step 6: Final answer
    x = 91,508.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.