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Finding the Third Proportional to 22,896 and 36,324

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Solution

The third proportional to 22,896 and 36,324 is: 57,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 36,324 = 36,324 : x
  2. Step 2: Convert to fraction form
    22,896/36,324 = 36,324/x
  3. Step 3: Cross multiply
    22,896x = 36,324 × 36,324
  4. Step 4: Simplify right side
    22,896x = 1,319,432,976
  5. Step 5: Solve for x
    x = 1,319,432,976/22,896
  6. Step 6: Final answer
    x = 57,627.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.