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Finding the Third Proportional to 8,026 and 18,745

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Solution

The third proportional to 8,026 and 18,745 is: 43,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026 : 18,745 = 18,745 : x
  2. Step 2: Convert to fraction form
    8,026/18,745 = 18,745/x
  3. Step 3: Cross multiply
    8,026x = 18,745 × 18,745
  4. Step 4: Simplify right side
    8,026x = 351,375,025
  5. Step 5: Solve for x
    x = 351,375,025/8,026
  6. Step 6: Final answer
    x = 43,779.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.