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Finding the Third Proportional to 26,821.13 and 41,765.63

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Solution

The third proportional to 26,821.13 and 41,765.63 is: 65,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.13 : 41,765.63 = 41,765.63 : x
  2. Step 2: Convert to fraction form
    26,821.13/41,765.63 = 41,765.63/x
  3. Step 3: Cross multiply
    26,821.13x = 41,765.63 × 41,765.63
  4. Step 4: Simplify right side
    26,821.13x = 1,744,367,431.64
  5. Step 5: Solve for x
    x = 1,744,367,431.64/26,821.13
  6. Step 6: Final answer
    x = 65,037.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.