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Finding the Third Proportional to 11,800.69 and 25,666.88

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Solution

The third proportional to 11,800.69 and 25,666.88 is: 55,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.69 : 25,666.88 = 25,666.88 : x
  2. Step 2: Convert to fraction form
    11,800.69/25,666.88 = 25,666.88/x
  3. Step 3: Cross multiply
    11,800.69x = 25,666.88 × 25,666.88
  4. Step 4: Simplify right side
    11,800.69x = 658,788,472.27
  5. Step 5: Solve for x
    x = 658,788,472.27/11,800.69
  6. Step 6: Final answer
    x = 55,826.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.