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Finding the Third Proportional to 26,798 and 56,620

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Solution

The third proportional to 26,798 and 56,620 is: 119,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798 : 56,620 = 56,620 : x
  2. Step 2: Convert to fraction form
    26,798/56,620 = 56,620/x
  3. Step 3: Cross multiply
    26,798x = 56,620 × 56,620
  4. Step 4: Simplify right side
    26,798x = 3,205,824,400
  5. Step 5: Solve for x
    x = 3,205,824,400/26,798
  6. Step 6: Final answer
    x = 119,629.24

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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.