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Finding the Third Proportional to 30,181 and 39,435

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Solution

The third proportional to 30,181 and 39,435 is: 51,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181 : 39,435 = 39,435 : x
  2. Step 2: Convert to fraction form
    30,181/39,435 = 39,435/x
  3. Step 3: Cross multiply
    30,181x = 39,435 × 39,435
  4. Step 4: Simplify right side
    30,181x = 1,555,119,225
  5. Step 5: Solve for x
    x = 1,555,119,225/30,181
  6. Step 6: Final answer
    x = 51,526.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.