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Finding the Third Proportional to 26,024 and 55,288

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Solution

The third proportional to 26,024 and 55,288 is: 117,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 55,288 = 55,288 : x
  2. Step 2: Convert to fraction form
    26,024/55,288 = 55,288/x
  3. Step 3: Cross multiply
    26,024x = 55,288 × 55,288
  4. Step 4: Simplify right side
    26,024x = 3,056,762,944
  5. Step 5: Solve for x
    x = 3,056,762,944/26,024
  6. Step 6: Final answer
    x = 117,459.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.