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Finding the Third Proportional to 11,050.59 and 23,866.31

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Solution

The third proportional to 11,050.59 and 23,866.31 is: 51,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050.59 : 23,866.31 = 23,866.31 : x
  2. Step 2: Convert to fraction form
    11,050.59/23,866.31 = 23,866.31/x
  3. Step 3: Cross multiply
    11,050.59x = 23,866.31 × 23,866.31
  4. Step 4: Simplify right side
    11,050.59x = 569,600,872.35
  5. Step 5: Solve for x
    x = 569,600,872.35/11,050.59
  6. Step 6: Final answer
    x = 51,544.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.