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Finding the Third Proportional to 51,409.69 and 73,894.78

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Solution

The third proportional to 51,409.69 and 73,894.78 is: 106,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.69 : 73,894.78 = 73,894.78 : x
  2. Step 2: Convert to fraction form
    51,409.69/73,894.78 = 73,894.78/x
  3. Step 3: Cross multiply
    51,409.69x = 73,894.78 × 73,894.78
  4. Step 4: Simplify right side
    51,409.69x = 5,460,438,695.99
  5. Step 5: Solve for x
    x = 5,460,438,695.99/51,409.69
  6. Step 6: Final answer
    x = 106,214.20

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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.