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Finding the Third Proportional to 21,416 and 32,064

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Solution

The third proportional to 21,416 and 32,064 is: 48,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416 : 32,064 = 32,064 : x
  2. Step 2: Convert to fraction form
    21,416/32,064 = 32,064/x
  3. Step 3: Cross multiply
    21,416x = 32,064 × 32,064
  4. Step 4: Simplify right side
    21,416x = 1,028,100,096
  5. Step 5: Solve for x
    x = 1,028,100,096/21,416
  6. Step 6: Final answer
    x = 48,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.