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Finding the Third Proportional to 40,376 and 93,830

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Solution

The third proportional to 40,376 and 93,830 is: 218,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,376 : 93,830 = 93,830 : x
  2. Step 2: Convert to fraction form
    40,376/93,830 = 93,830/x
  3. Step 3: Cross multiply
    40,376x = 93,830 × 93,830
  4. Step 4: Simplify right side
    40,376x = 8,804,068,900
  5. Step 5: Solve for x
    x = 8,804,068,900/40,376
  6. Step 6: Final answer
    x = 218,052.03

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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.