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Finding the Third Proportional to 40,817 and 62,433

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Solution

The third proportional to 40,817 and 62,433 is: 95,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,817 : 62,433 = 62,433 : x
  2. Step 2: Convert to fraction form
    40,817/62,433 = 62,433/x
  3. Step 3: Cross multiply
    40,817x = 62,433 × 62,433
  4. Step 4: Simplify right side
    40,817x = 3,897,879,489
  5. Step 5: Solve for x
    x = 3,897,879,489/40,817
  6. Step 6: Final answer
    x = 95,496.47

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Why These Related Problems?

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