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Finding the Third Proportional to 18,560 and 39,064

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Solution

The third proportional to 18,560 and 39,064 is: 82,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,560 : 39,064 = 39,064 : x
  2. Step 2: Convert to fraction form
    18,560/39,064 = 39,064/x
  3. Step 3: Cross multiply
    18,560x = 39,064 × 39,064
  4. Step 4: Simplify right side
    18,560x = 1,525,996,096
  5. Step 5: Solve for x
    x = 1,525,996,096/18,560
  6. Step 6: Final answer
    x = 82,219.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.