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Finding the Third Proportional to 17,538 and 36,948

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Solution

The third proportional to 17,538 and 36,948 is: 77,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538 : 36,948 = 36,948 : x
  2. Step 2: Convert to fraction form
    17,538/36,948 = 36,948/x
  3. Step 3: Cross multiply
    17,538x = 36,948 × 36,948
  4. Step 4: Simplify right side
    17,538x = 1,365,154,704
  5. Step 5: Solve for x
    x = 1,365,154,704/17,538
  6. Step 6: Final answer
    x = 77,839.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.