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Finding the Third Proportional to 33,102 and 71,762.63

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Solution

The third proportional to 33,102 and 71,762.63 is: 155,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102 : 71,762.63 = 71,762.63 : x
  2. Step 2: Convert to fraction form
    33,102/71,762.63 = 71,762.63/x
  3. Step 3: Cross multiply
    33,102x = 71,762.63 × 71,762.63
  4. Step 4: Simplify right side
    33,102x = 5,149,874,346.89
  5. Step 5: Solve for x
    x = 5,149,874,346.89/33,102
  6. Step 6: Final answer
    x = 155,575.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.