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Finding the Third Proportional to 26,821.13 and 38,166.19

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Solution

The third proportional to 26,821.13 and 38,166.19 is: 54,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.13 : 38,166.19 = 38,166.19 : x
  2. Step 2: Convert to fraction form
    26,821.13/38,166.19 = 38,166.19/x
  3. Step 3: Cross multiply
    26,821.13x = 38,166.19 × 38,166.19
  4. Step 4: Simplify right side
    26,821.13x = 1,456,657,868.29
  5. Step 5: Solve for x
    x = 1,456,657,868.29/26,821.13
  6. Step 6: Final answer
    x = 54,310.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.