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Finding the Third Proportional to 11,823.25 and 25,225.75

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Solution

The third proportional to 11,823.25 and 25,225.75 is: 53,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.25 : 25,225.75 = 25,225.75 : x
  2. Step 2: Convert to fraction form
    11,823.25/25,225.75 = 25,225.75/x
  3. Step 3: Cross multiply
    11,823.25x = 25,225.75 × 25,225.75
  4. Step 4: Simplify right side
    11,823.25x = 636,338,463.06
  5. Step 5: Solve for x
    x = 636,338,463.06/11,823.25
  6. Step 6: Final answer
    x = 53,820.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.