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Finding the Third Proportional to 26,101.50 and 48,010.50

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Solution

The third proportional to 26,101.50 and 48,010.50 is: 88,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.50 : 48,010.50 = 48,010.50 : x
  2. Step 2: Convert to fraction form
    26,101.50/48,010.50 = 48,010.50/x
  3. Step 3: Cross multiply
    26,101.50x = 48,010.50 × 48,010.50
  4. Step 4: Simplify right side
    26,101.50x = 2,305,008,110.25
  5. Step 5: Solve for x
    x = 2,305,008,110.25/26,101.50
  6. Step 6: Final answer
    x = 88,309.41

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.