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Finding the Third Proportional to 30,932 and 48,014

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Solution

The third proportional to 30,932 and 48,014 is: 74,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932 : 48,014 = 48,014 : x
  2. Step 2: Convert to fraction form
    30,932/48,014 = 48,014/x
  3. Step 3: Cross multiply
    30,932x = 48,014 × 48,014
  4. Step 4: Simplify right side
    30,932x = 2,305,344,196
  5. Step 5: Solve for x
    x = 2,305,344,196/30,932
  6. Step 6: Final answer
    x = 74,529.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.