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Finding the Third Proportional to 26,850 and 58,125

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Solution

The third proportional to 26,850 and 58,125 is: 125,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850 : 58,125 = 58,125 : x
  2. Step 2: Convert to fraction form
    26,850/58,125 = 58,125/x
  3. Step 3: Cross multiply
    26,850x = 58,125 × 58,125
  4. Step 4: Simplify right side
    26,850x = 3,378,515,625
  5. Step 5: Solve for x
    x = 3,378,515,625/26,850
  6. Step 6: Final answer
    x = 125,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.