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Finding the Third Proportional to 30,982 and 47,403

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Solution

The third proportional to 30,982 and 47,403 is: 72,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982 : 47,403 = 47,403 : x
  2. Step 2: Convert to fraction form
    30,982/47,403 = 47,403/x
  3. Step 3: Cross multiply
    30,982x = 47,403 × 47,403
  4. Step 4: Simplify right side
    30,982x = 2,247,044,409
  5. Step 5: Solve for x
    x = 2,247,044,409/30,982
  6. Step 6: Final answer
    x = 72,527.42

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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.