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Finding the Third Proportional to 11,097.38 and 23,774.25

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Solution

The third proportional to 11,097.38 and 23,774.25 is: 50,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.38 : 23,774.25 = 23,774.25 : x
  2. Step 2: Convert to fraction form
    11,097.38/23,774.25 = 23,774.25/x
  3. Step 3: Cross multiply
    11,097.38x = 23,774.25 × 23,774.25
  4. Step 4: Simplify right side
    11,097.38x = 565,214,963.06
  5. Step 5: Solve for x
    x = 565,214,963.06/11,097.38
  6. Step 6: Final answer
    x = 50,932.31

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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.