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Finding the Third Proportional to 22,896 and 48,792

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Solution

The third proportional to 22,896 and 48,792 is: 103,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 48,792 = 48,792 : x
  2. Step 2: Convert to fraction form
    22,896/48,792 = 48,792/x
  3. Step 3: Cross multiply
    22,896x = 48,792 × 48,792
  4. Step 4: Simplify right side
    22,896x = 2,380,659,264
  5. Step 5: Solve for x
    x = 2,380,659,264/22,896
  6. Step 6: Final answer
    x = 103,977.08

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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.