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Finding the Third Proportional to 11,963.25 and 26,235

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Solution

The third proportional to 11,963.25 and 26,235 is: 57,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.25 : 26,235 = 26,235 : x
  2. Step 2: Convert to fraction form
    11,963.25/26,235 = 26,235/x
  3. Step 3: Cross multiply
    11,963.25x = 26,235 × 26,235
  4. Step 4: Simplify right side
    11,963.25x = 688,275,225
  5. Step 5: Solve for x
    x = 688,275,225/11,963.25
  6. Step 6: Final answer
    x = 57,532.46

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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.