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Finding the Third Proportional to 28,763 and 58,919

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Solution

The third proportional to 28,763 and 58,919 is: 120,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,763 : 58,919 = 58,919 : x
  2. Step 2: Convert to fraction form
    28,763/58,919 = 58,919/x
  3. Step 3: Cross multiply
    28,763x = 58,919 × 58,919
  4. Step 4: Simplify right side
    28,763x = 3,471,448,561
  5. Step 5: Solve for x
    x = 3,471,448,561/28,763
  6. Step 6: Final answer
    x = 120,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.