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Finding the Third Proportional to 26,022 and 55,988

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Solution

The third proportional to 26,022 and 55,988 is: 120,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 55,988 = 55,988 : x
  2. Step 2: Convert to fraction form
    26,022/55,988 = 55,988/x
  3. Step 3: Cross multiply
    26,022x = 55,988 × 55,988
  4. Step 4: Simplify right side
    26,022x = 3,134,656,144
  5. Step 5: Solve for x
    x = 3,134,656,144/26,022
  6. Step 6: Final answer
    x = 120,461.77

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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.