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Finding the Third Proportional to 18,532 and 39,140

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Solution

The third proportional to 18,532 and 39,140 is: 82,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532 : 39,140 = 39,140 : x
  2. Step 2: Convert to fraction form
    18,532/39,140 = 39,140/x
  3. Step 3: Cross multiply
    18,532x = 39,140 × 39,140
  4. Step 4: Simplify right side
    18,532x = 1,531,939,600
  5. Step 5: Solve for x
    x = 1,531,939,600/18,532
  6. Step 6: Final answer
    x = 82,664.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.