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Finding the Third Proportional to 26,646 and 58,260

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Solution

The third proportional to 26,646 and 58,260 is: 127,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646 : 58,260 = 58,260 : x
  2. Step 2: Convert to fraction form
    26,646/58,260 = 58,260/x
  3. Step 3: Cross multiply
    26,646x = 58,260 × 58,260
  4. Step 4: Simplify right side
    26,646x = 3,394,227,600
  5. Step 5: Solve for x
    x = 3,394,227,600/26,646
  6. Step 6: Final answer
    x = 127,382.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.