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Finding the Third Proportional to 28,874 and 64,306

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Solution

The third proportional to 28,874 and 64,306 is: 143,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,874 : 64,306 = 64,306 : x
  2. Step 2: Convert to fraction form
    28,874/64,306 = 64,306/x
  3. Step 3: Cross multiply
    28,874x = 64,306 × 64,306
  4. Step 4: Simplify right side
    28,874x = 4,135,261,636
  5. Step 5: Solve for x
    x = 4,135,261,636/28,874
  6. Step 6: Final answer
    x = 143,217.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.