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Finding the Third Proportional to 18,536 and 27,964

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Solution

The third proportional to 18,536 and 27,964 is: 42,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536 : 27,964 = 27,964 : x
  2. Step 2: Convert to fraction form
    18,536/27,964 = 27,964/x
  3. Step 3: Cross multiply
    18,536x = 27,964 × 27,964
  4. Step 4: Simplify right side
    18,536x = 781,985,296
  5. Step 5: Solve for x
    x = 781,985,296/18,536
  6. Step 6: Final answer
    x = 42,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.