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Finding the Third Proportional to 33,415.50 and 49,026

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Solution

The third proportional to 33,415.50 and 49,026 is: 71,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.50 : 49,026 = 49,026 : x
  2. Step 2: Convert to fraction form
    33,415.50/49,026 = 49,026/x
  3. Step 3: Cross multiply
    33,415.50x = 49,026 × 49,026
  4. Step 4: Simplify right side
    33,415.50x = 2,403,548,676
  5. Step 5: Solve for x
    x = 2,403,548,676/33,415.50
  6. Step 6: Final answer
    x = 71,929.15

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