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Finding the Third Proportional to 26,064 and 39,064

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Solution

The third proportional to 26,064 and 39,064 is: 58,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 39,064 = 39,064 : x
  2. Step 2: Convert to fraction form
    26,064/39,064 = 39,064/x
  3. Step 3: Cross multiply
    26,064x = 39,064 × 39,064
  4. Step 4: Simplify right side
    26,064x = 1,525,996,096
  5. Step 5: Solve for x
    x = 1,525,996,096/26,064
  6. Step 6: Final answer
    x = 58,548.04

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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.