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Finding the Third Proportional to 15,140 and 33,005

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Solution

The third proportional to 15,140 and 33,005 is: 71,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 33,005 = 33,005 : x
  2. Step 2: Convert to fraction form
    15,140/33,005 = 33,005/x
  3. Step 3: Cross multiply
    15,140x = 33,005 × 33,005
  4. Step 4: Simplify right side
    15,140x = 1,089,330,025
  5. Step 5: Solve for x
    x = 1,089,330,025/15,140
  6. Step 6: Final answer
    x = 71,950.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.