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Finding the Third Proportional to 11,557.69 and 23,969.67

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Solution

The third proportional to 11,557.69 and 23,969.67 is: 49,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 23,969.67 = 23,969.67 : x
  2. Step 2: Convert to fraction form
    11,557.69/23,969.67 = 23,969.67/x
  3. Step 3: Cross multiply
    11,557.69x = 23,969.67 × 23,969.67
  4. Step 4: Simplify right side
    11,557.69x = 574,545,169.80
  5. Step 5: Solve for x
    x = 574,545,169.80/11,557.69
  6. Step 6: Final answer
    x = 49,711.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.