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Finding the Third Proportional to 52,798 and 76,821

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Solution

The third proportional to 52,798 and 76,821 is: 111,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,798 : 76,821 = 76,821 : x
  2. Step 2: Convert to fraction form
    52,798/76,821 = 76,821/x
  3. Step 3: Cross multiply
    52,798x = 76,821 × 76,821
  4. Step 4: Simplify right side
    52,798x = 5,901,466,041
  5. Step 5: Solve for x
    x = 5,901,466,041/52,798
  6. Step 6: Final answer
    x = 111,774.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.