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Finding the Third Proportional to 40,740 and 54,819

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Solution

The third proportional to 40,740 and 54,819 is: 73,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,740 : 54,819 = 54,819 : x
  2. Step 2: Convert to fraction form
    40,740/54,819 = 54,819/x
  3. Step 3: Cross multiply
    40,740x = 54,819 × 54,819
  4. Step 4: Simplify right side
    40,740x = 3,005,122,761
  5. Step 5: Solve for x
    x = 3,005,122,761/40,740
  6. Step 6: Final answer
    x = 73,763.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.