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Finding the Third Proportional to 32,962 and 51,024

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Solution

The third proportional to 32,962 and 51,024 is: 78,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962 : 51,024 = 51,024 : x
  2. Step 2: Convert to fraction form
    32,962/51,024 = 51,024/x
  3. Step 3: Cross multiply
    32,962x = 51,024 × 51,024
  4. Step 4: Simplify right side
    32,962x = 2,603,448,576
  5. Step 5: Solve for x
    x = 2,603,448,576/32,962
  6. Step 6: Final answer
    x = 78,983.33

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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.