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Finding the Third Proportional to 33,534 and 49,344.19

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Solution

The third proportional to 33,534 and 49,344.19 is: 72,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 49,344.19 = 49,344.19 : x
  2. Step 2: Convert to fraction form
    33,534/49,344.19 = 49,344.19/x
  3. Step 3: Cross multiply
    33,534x = 49,344.19 × 49,344.19
  4. Step 4: Simplify right side
    33,534x = 2,434,848,840.04
  5. Step 5: Solve for x
    x = 2,434,848,840.04/33,534
  6. Step 6: Final answer
    x = 72,608.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.