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Finding the Third Proportional to 26,798 and 40,821

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Solution

The third proportional to 26,798 and 40,821 is: 62,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798 : 40,821 = 40,821 : x
  2. Step 2: Convert to fraction form
    26,798/40,821 = 40,821/x
  3. Step 3: Cross multiply
    26,798x = 40,821 × 40,821
  4. Step 4: Simplify right side
    26,798x = 1,666,354,041
  5. Step 5: Solve for x
    x = 1,666,354,041/26,798
  6. Step 6: Final answer
    x = 62,182.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.