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Finding the Third Proportional to 28,463 and 61,849

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Solution

The third proportional to 28,463 and 61,849 is: 134,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,463 : 61,849 = 61,849 : x
  2. Step 2: Convert to fraction form
    28,463/61,849 = 61,849/x
  3. Step 3: Cross multiply
    28,463x = 61,849 × 61,849
  4. Step 4: Simplify right side
    28,463x = 3,825,298,801
  5. Step 5: Solve for x
    x = 3,825,298,801/28,463
  6. Step 6: Final answer
    x = 134,395.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.