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Finding the Third Proportional to 34,021.69 and 48,110.63

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Solution

The third proportional to 34,021.69 and 48,110.63 is: 68,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.69 : 48,110.63 = 48,110.63 : x
  2. Step 2: Convert to fraction form
    34,021.69/48,110.63 = 48,110.63/x
  3. Step 3: Cross multiply
    34,021.69x = 48,110.63 × 48,110.63
  4. Step 4: Simplify right side
    34,021.69x = 2,314,632,237.89
  5. Step 5: Solve for x
    x = 2,314,632,237.89/34,021.69
  6. Step 6: Final answer
    x = 68,034.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.