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Finding the Third Proportional to 11,364.75 and 24,896.25

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Solution

The third proportional to 11,364.75 and 24,896.25 is: 54,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.75 : 24,896.25 = 24,896.25 : x
  2. Step 2: Convert to fraction form
    11,364.75/24,896.25 = 24,896.25/x
  3. Step 3: Cross multiply
    11,364.75x = 24,896.25 × 24,896.25
  4. Step 4: Simplify right side
    11,364.75x = 619,823,264.06
  5. Step 5: Solve for x
    x = 619,823,264.06/11,364.75
  6. Step 6: Final answer
    x = 54,539.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.