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Finding the Third Proportional to 32,064 and 46,956

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Solution

The third proportional to 32,064 and 46,956 is: 68,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064 : 46,956 = 46,956 : x
  2. Step 2: Convert to fraction form
    32,064/46,956 = 46,956/x
  3. Step 3: Cross multiply
    32,064x = 46,956 × 46,956
  4. Step 4: Simplify right side
    32,064x = 2,204,865,936
  5. Step 5: Solve for x
    x = 2,204,865,936/32,064
  6. Step 6: Final answer
    x = 68,764.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.