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Finding the Third Proportional to 26,014 and 55,973

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Solution

The third proportional to 26,014 and 55,973 is: 120,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014 : 55,973 = 55,973 : x
  2. Step 2: Convert to fraction form
    26,014/55,973 = 55,973/x
  3. Step 3: Cross multiply
    26,014x = 55,973 × 55,973
  4. Step 4: Simplify right side
    26,014x = 3,132,976,729
  5. Step 5: Solve for x
    x = 3,132,976,729/26,014
  6. Step 6: Final answer
    x = 120,434.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.