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Finding the Third Proportional to 16,026.61 and 34,821.14

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Solution

The third proportional to 16,026.61 and 34,821.14 is: 75,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.61 : 34,821.14 = 34,821.14 : x
  2. Step 2: Convert to fraction form
    16,026.61/34,821.14 = 34,821.14/x
  3. Step 3: Cross multiply
    16,026.61x = 34,821.14 × 34,821.14
  4. Step 4: Simplify right side
    16,026.61x = 1,212,511,834.43
  5. Step 5: Solve for x
    x = 1,212,511,834.43/16,026.61
  6. Step 6: Final answer
    x = 75,656.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.