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Finding the Third Proportional to 33,590.95 and 49,617.56

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Solution

The third proportional to 33,590.95 and 49,617.56 is: 73,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.95 : 49,617.56 = 49,617.56 : x
  2. Step 2: Convert to fraction form
    33,590.95/49,617.56 = 49,617.56/x
  3. Step 3: Cross multiply
    33,590.95x = 49,617.56 × 49,617.56
  4. Step 4: Simplify right side
    33,590.95x = 2,461,902,508.44
  5. Step 5: Solve for x
    x = 2,461,902,508.44/33,590.95
  6. Step 6: Final answer
    x = 73,290.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.