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Finding the Third Proportional to 26,464 and 58,112

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Solution

The third proportional to 26,464 and 58,112 is: 127,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464 : 58,112 = 58,112 : x
  2. Step 2: Convert to fraction form
    26,464/58,112 = 58,112/x
  3. Step 3: Cross multiply
    26,464x = 58,112 × 58,112
  4. Step 4: Simplify right side
    26,464x = 3,377,004,544
  5. Step 5: Solve for x
    x = 3,377,004,544/26,464
  6. Step 6: Final answer
    x = 127,607.49

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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.