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Finding the Third Proportional to 26,254.13 and 41,755.50

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Solution

The third proportional to 26,254.13 and 41,755.50 is: 66,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254.13 : 41,755.50 = 41,755.50 : x
  2. Step 2: Convert to fraction form
    26,254.13/41,755.50 = 41,755.50/x
  3. Step 3: Cross multiply
    26,254.13x = 41,755.50 × 41,755.50
  4. Step 4: Simplify right side
    26,254.13x = 1,743,521,780.25
  5. Step 5: Solve for x
    x = 1,743,521,780.25/26,254.13
  6. Step 6: Final answer
    x = 66,409.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.