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Finding the Third Proportional to 33,754 and 44,798

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Solution

The third proportional to 33,754 and 44,798 is: 59,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,754 : 44,798 = 44,798 : x
  2. Step 2: Convert to fraction form
    33,754/44,798 = 44,798/x
  3. Step 3: Cross multiply
    33,754x = 44,798 × 44,798
  4. Step 4: Simplify right side
    33,754x = 2,006,860,804
  5. Step 5: Solve for x
    x = 2,006,860,804/33,754
  6. Step 6: Final answer
    x = 59,455.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.