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Finding the Third Proportional to 20,072 and 26,773

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Solution

The third proportional to 20,072 and 26,773 is: 35,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 26,773 = 26,773 : x
  2. Step 2: Convert to fraction form
    20,072/26,773 = 26,773/x
  3. Step 3: Cross multiply
    20,072x = 26,773 × 26,773
  4. Step 4: Simplify right side
    20,072x = 716,793,529
  5. Step 5: Solve for x
    x = 716,793,529/20,072
  6. Step 6: Final answer
    x = 35,711.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.