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Finding the Third Proportional to 26,720 and 58,084

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Solution

The third proportional to 26,720 and 58,084 is: 126,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 58,084 = 58,084 : x
  2. Step 2: Convert to fraction form
    26,720/58,084 = 58,084/x
  3. Step 3: Cross multiply
    26,720x = 58,084 × 58,084
  4. Step 4: Simplify right side
    26,720x = 3,373,751,056
  5. Step 5: Solve for x
    x = 3,373,751,056/26,720
  6. Step 6: Final answer
    x = 126,263.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.