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Finding the Third Proportional to 35,822.25 and 54,907.88

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Solution

The third proportional to 35,822.25 and 54,907.88 is: 84,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.25 : 54,907.88 = 54,907.88 : x
  2. Step 2: Convert to fraction form
    35,822.25/54,907.88 = 54,907.88/x
  3. Step 3: Cross multiply
    35,822.25x = 54,907.88 × 54,907.88
  4. Step 4: Simplify right side
    35,822.25x = 3,014,874,737.02
  5. Step 5: Solve for x
    x = 3,014,874,737.02/35,822.25
  6. Step 6: Final answer
    x = 84,162.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.