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Finding the Third Proportional to 30,180 and 44,394

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Solution

The third proportional to 30,180 and 44,394 is: 65,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180 : 44,394 = 44,394 : x
  2. Step 2: Convert to fraction form
    30,180/44,394 = 44,394/x
  3. Step 3: Cross multiply
    30,180x = 44,394 × 44,394
  4. Step 4: Simplify right side
    30,180x = 1,970,827,236
  5. Step 5: Solve for x
    x = 1,970,827,236/30,180
  6. Step 6: Final answer
    x = 65,302.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.