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Finding the Third Proportional to 30,177 and 39,429

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Solution

The third proportional to 30,177 and 39,429 is: 51,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 39,429 = 39,429 : x
  2. Step 2: Convert to fraction form
    30,177/39,429 = 39,429/x
  3. Step 3: Cross multiply
    30,177x = 39,429 × 39,429
  4. Step 4: Simplify right side
    30,177x = 1,554,646,041
  5. Step 5: Solve for x
    x = 1,554,646,041/30,177
  6. Step 6: Final answer
    x = 51,517.58

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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.