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Finding the Third Proportional to 33,968 and 51,465

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Solution

The third proportional to 33,968 and 51,465 is: 77,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,968 : 51,465 = 51,465 : x
  2. Step 2: Convert to fraction form
    33,968/51,465 = 51,465/x
  3. Step 3: Cross multiply
    33,968x = 51,465 × 51,465
  4. Step 4: Simplify right side
    33,968x = 2,648,646,225
  5. Step 5: Solve for x
    x = 2,648,646,225/33,968
  6. Step 6: Final answer
    x = 77,974.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.