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Finding the Third Proportional to 26,415 and 58,736.25

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Solution

The third proportional to 26,415 and 58,736.25 is: 130,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415 : 58,736.25 = 58,736.25 : x
  2. Step 2: Convert to fraction form
    26,415/58,736.25 = 58,736.25/x
  3. Step 3: Cross multiply
    26,415x = 58,736.25 × 58,736.25
  4. Step 4: Simplify right side
    26,415x = 3,449,947,064.06
  5. Step 5: Solve for x
    x = 3,449,947,064.06/26,415
  6. Step 6: Final answer
    x = 130,605.61

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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.