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Finding the Third Proportional to 34,035.19 and 49,849.17

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Solution

The third proportional to 34,035.19 and 49,849.17 is: 73,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.19 : 49,849.17 = 49,849.17 : x
  2. Step 2: Convert to fraction form
    34,035.19/49,849.17 = 49,849.17/x
  3. Step 3: Cross multiply
    34,035.19x = 49,849.17 × 49,849.17
  4. Step 4: Simplify right side
    34,035.19x = 2,484,939,936.62
  5. Step 5: Solve for x
    x = 2,484,939,936.62/34,035.19
  6. Step 6: Final answer
    x = 73,010.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.