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Finding the Third Proportional to 11,289.75 and 26,653.13

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Solution

The third proportional to 11,289.75 and 26,653.13 is: 62,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.75 : 26,653.13 = 26,653.13 : x
  2. Step 2: Convert to fraction form
    11,289.75/26,653.13 = 26,653.13/x
  3. Step 3: Cross multiply
    11,289.75x = 26,653.13 × 26,653.13
  4. Step 4: Simplify right side
    11,289.75x = 710,389,072.27
  5. Step 5: Solve for x
    x = 710,389,072.27/11,289.75
  6. Step 6: Final answer
    x = 62,923.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.