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Finding the Third Proportional to 18,164 and 27,773

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Solution

The third proportional to 18,164 and 27,773 is: 42,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164 : 27,773 = 27,773 : x
  2. Step 2: Convert to fraction form
    18,164/27,773 = 27,773/x
  3. Step 3: Cross multiply
    18,164x = 27,773 × 27,773
  4. Step 4: Simplify right side
    18,164x = 771,339,529
  5. Step 5: Solve for x
    x = 771,339,529/18,164
  6. Step 6: Final answer
    x = 42,465.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.