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Finding the Third Proportional to 26,019 and 55,987

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Solution

The third proportional to 26,019 and 55,987 is: 120,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019 : 55,987 = 55,987 : x
  2. Step 2: Convert to fraction form
    26,019/55,987 = 55,987/x
  3. Step 3: Cross multiply
    26,019x = 55,987 × 55,987
  4. Step 4: Simplify right side
    26,019x = 3,134,544,169
  5. Step 5: Solve for x
    x = 3,134,544,169/26,019
  6. Step 6: Final answer
    x = 120,471.35

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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.