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Finding the Third Proportional to 40,958 and 55,603

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Solution

The third proportional to 40,958 and 55,603 is: 75,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,958 : 55,603 = 55,603 : x
  2. Step 2: Convert to fraction form
    40,958/55,603 = 55,603/x
  3. Step 3: Cross multiply
    40,958x = 55,603 × 55,603
  4. Step 4: Simplify right side
    40,958x = 3,091,693,609
  5. Step 5: Solve for x
    x = 3,091,693,609/40,958
  6. Step 6: Final answer
    x = 75,484.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.