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Finding the Third Proportional to 48,096 and 68,640

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Solution

The third proportional to 48,096 and 68,640 is: 97,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096 : 68,640 = 68,640 : x
  2. Step 2: Convert to fraction form
    48,096/68,640 = 68,640/x
  3. Step 3: Cross multiply
    48,096x = 68,640 × 68,640
  4. Step 4: Simplify right side
    48,096x = 4,711,449,600
  5. Step 5: Solve for x
    x = 4,711,449,600/48,096
  6. Step 6: Final answer
    x = 97,959.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.