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Finding the Third Proportional to 9,051.75 and 11,898.56

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Solution

The third proportional to 9,051.75 and 11,898.56 is: 15,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 11,898.56 = 11,898.56 : x
  2. Step 2: Convert to fraction form
    9,051.75/11,898.56 = 11,898.56/x
  3. Step 3: Cross multiply
    9,051.75x = 11,898.56 × 11,898.56
  4. Step 4: Simplify right side
    9,051.75x = 141,575,789.57
  5. Step 5: Solve for x
    x = 141,575,789.57/9,051.75
  6. Step 6: Final answer
    x = 15,640.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.