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Finding the Third Proportional to 28,684 and 62,288

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Solution

The third proportional to 28,684 and 62,288 is: 135,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,684 : 62,288 = 62,288 : x
  2. Step 2: Convert to fraction form
    28,684/62,288 = 62,288/x
  3. Step 3: Cross multiply
    28,684x = 62,288 × 62,288
  4. Step 4: Simplify right side
    28,684x = 3,879,794,944
  5. Step 5: Solve for x
    x = 3,879,794,944/28,684
  6. Step 6: Final answer
    x = 135,259.90

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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.