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Finding the Third Proportional to 20,071 and 26,818

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Solution

The third proportional to 20,071 and 26,818 is: 35,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071 : 26,818 = 26,818 : x
  2. Step 2: Convert to fraction form
    20,071/26,818 = 26,818/x
  3. Step 3: Cross multiply
    20,071x = 26,818 × 26,818
  4. Step 4: Simplify right side
    20,071x = 719,205,124
  5. Step 5: Solve for x
    x = 719,205,124/20,071
  6. Step 6: Final answer
    x = 35,833.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.