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Finding the Third Proportional to 32,968 and 51,020

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Solution

The third proportional to 32,968 and 51,020 is: 78,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,968 : 51,020 = 51,020 : x
  2. Step 2: Convert to fraction form
    32,968/51,020 = 51,020/x
  3. Step 3: Cross multiply
    32,968x = 51,020 × 51,020
  4. Step 4: Simplify right side
    32,968x = 2,603,040,400
  5. Step 5: Solve for x
    x = 2,603,040,400/32,968
  6. Step 6: Final answer
    x = 78,956.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.