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Finding the Third Proportional to 28,565 and 62,823

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Solution

The third proportional to 28,565 and 62,823 is: 138,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565 : 62,823 = 62,823 : x
  2. Step 2: Convert to fraction form
    28,565/62,823 = 62,823/x
  3. Step 3: Cross multiply
    28,565x = 62,823 × 62,823
  4. Step 4: Simplify right side
    28,565x = 3,946,729,329
  5. Step 5: Solve for x
    x = 3,946,729,329/28,565
  6. Step 6: Final answer
    x = 138,166.61

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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.