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Finding the Third Proportional to 41,538 and 97,520

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Solution

The third proportional to 41,538 and 97,520 is: 228,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538 : 97,520 = 97,520 : x
  2. Step 2: Convert to fraction form
    41,538/97,520 = 97,520/x
  3. Step 3: Cross multiply
    41,538x = 97,520 × 97,520
  4. Step 4: Simplify right side
    41,538x = 9,510,150,400
  5. Step 5: Solve for x
    x = 9,510,150,400/41,538
  6. Step 6: Final answer
    x = 228,950.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.