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Finding the Third Proportional to 26,420 and 58,672

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Solution

The third proportional to 26,420 and 58,672 is: 130,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420 : 58,672 = 58,672 : x
  2. Step 2: Convert to fraction form
    26,420/58,672 = 58,672/x
  3. Step 3: Cross multiply
    26,420x = 58,672 × 58,672
  4. Step 4: Simplify right side
    26,420x = 3,442,403,584
  5. Step 5: Solve for x
    x = 3,442,403,584/26,420
  6. Step 6: Final answer
    x = 130,295.37

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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.