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Finding the Third Proportional to 26,278 and 58,388

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Solution

The third proportional to 26,278 and 58,388 is: 129,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278 : 58,388 = 58,388 : x
  2. Step 2: Convert to fraction form
    26,278/58,388 = 58,388/x
  3. Step 3: Cross multiply
    26,278x = 58,388 × 58,388
  4. Step 4: Simplify right side
    26,278x = 3,409,158,544
  5. Step 5: Solve for x
    x = 3,409,158,544/26,278
  6. Step 6: Final answer
    x = 129,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.