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Finding the Third Proportional to 34,309.69 and 49,550.63

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Solution

The third proportional to 34,309.69 and 49,550.63 is: 71,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.69 : 49,550.63 = 49,550.63 : x
  2. Step 2: Convert to fraction form
    34,309.69/49,550.63 = 49,550.63/x
  3. Step 3: Cross multiply
    34,309.69x = 49,550.63 × 49,550.63
  4. Step 4: Simplify right side
    34,309.69x = 2,455,264,437.89
  5. Step 5: Solve for x
    x = 2,455,264,437.89/34,309.69
  6. Step 6: Final answer
    x = 71,561.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.