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Finding the Third Proportional to 26,542 and 55,964

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Solution

The third proportional to 26,542 and 55,964 is: 118,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542 : 55,964 = 55,964 : x
  2. Step 2: Convert to fraction form
    26,542/55,964 = 55,964/x
  3. Step 3: Cross multiply
    26,542x = 55,964 × 55,964
  4. Step 4: Simplify right side
    26,542x = 3,131,969,296
  5. Step 5: Solve for x
    x = 3,131,969,296/26,542
  6. Step 6: Final answer
    x = 118,000.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.