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Finding the Third Proportional to 11,789.30 and 25,265.67

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Solution

The third proportional to 11,789.30 and 25,265.67 is: 54,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.30 : 25,265.67 = 25,265.67 : x
  2. Step 2: Convert to fraction form
    11,789.30/25,265.67 = 25,265.67/x
  3. Step 3: Cross multiply
    11,789.30x = 25,265.67 × 25,265.67
  4. Step 4: Simplify right side
    11,789.30x = 638,354,175.30
  5. Step 5: Solve for x
    x = 638,354,175.30/11,789.30
  6. Step 6: Final answer
    x = 54,146.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.