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Finding the Third Proportional to 16,798 and 34,978

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Solution

The third proportional to 16,798 and 34,978 is: 72,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798 : 34,978 = 34,978 : x
  2. Step 2: Convert to fraction form
    16,798/34,978 = 34,978/x
  3. Step 3: Cross multiply
    16,798x = 34,978 × 34,978
  4. Step 4: Simplify right side
    16,798x = 1,223,460,484
  5. Step 5: Solve for x
    x = 1,223,460,484/16,798
  6. Step 6: Final answer
    x = 72,833.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.