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Finding the Third Proportional to 11,007.75 and 23,726.25

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Solution

The third proportional to 11,007.75 and 23,726.25 is: 51,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.75 : 23,726.25 = 23,726.25 : x
  2. Step 2: Convert to fraction form
    11,007.75/23,726.25 = 23,726.25/x
  3. Step 3: Cross multiply
    11,007.75x = 23,726.25 × 23,726.25
  4. Step 4: Simplify right side
    11,007.75x = 562,934,939.06
  5. Step 5: Solve for x
    x = 562,934,939.06/11,007.75
  6. Step 6: Final answer
    x = 51,139.87

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