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Finding the Third Proportional to 26,820 and 58,916

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Solution

The third proportional to 26,820 and 58,916 is: 129,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820 : 58,916 = 58,916 : x
  2. Step 2: Convert to fraction form
    26,820/58,916 = 58,916/x
  3. Step 3: Cross multiply
    26,820x = 58,916 × 58,916
  4. Step 4: Simplify right side
    26,820x = 3,471,095,056
  5. Step 5: Solve for x
    x = 3,471,095,056/26,820
  6. Step 6: Final answer
    x = 129,421.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.