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Finding the Third Proportional to 40,380 and 93,840

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Solution

The third proportional to 40,380 and 93,840 is: 218,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380 : 93,840 = 93,840 : x
  2. Step 2: Convert to fraction form
    40,380/93,840 = 93,840/x
  3. Step 3: Cross multiply
    40,380x = 93,840 × 93,840
  4. Step 4: Simplify right side
    40,380x = 8,805,945,600
  5. Step 5: Solve for x
    x = 8,805,945,600/40,380
  6. Step 6: Final answer
    x = 218,076.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.