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Finding the Third Proportional to 28,058 and 61,651

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Solution

The third proportional to 28,058 and 61,651 is: 135,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,058 : 61,651 = 61,651 : x
  2. Step 2: Convert to fraction form
    28,058/61,651 = 61,651/x
  3. Step 3: Cross multiply
    28,058x = 61,651 × 61,651
  4. Step 4: Simplify right side
    28,058x = 3,800,845,801
  5. Step 5: Solve for x
    x = 3,800,845,801/28,058
  6. Step 6: Final answer
    x = 135,463.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.