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Finding the Third Proportional to 28,014 and 58,623

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Solution

The third proportional to 28,014 and 58,623 is: 122,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014 : 58,623 = 58,623 : x
  2. Step 2: Convert to fraction form
    28,014/58,623 = 58,623/x
  3. Step 3: Cross multiply
    28,014x = 58,623 × 58,623
  4. Step 4: Simplify right side
    28,014x = 3,436,656,129
  5. Step 5: Solve for x
    x = 3,436,656,129/28,014
  6. Step 6: Final answer
    x = 122,676.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.