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Finding the Third Proportional to 30,456 and 44,496

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Solution

The third proportional to 30,456 and 44,496 is: 65,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 44,496 = 44,496 : x
  2. Step 2: Convert to fraction form
    30,456/44,496 = 44,496/x
  3. Step 3: Cross multiply
    30,456x = 44,496 × 44,496
  4. Step 4: Simplify right side
    30,456x = 1,979,894,016
  5. Step 5: Solve for x
    x = 1,979,894,016/30,456
  6. Step 6: Final answer
    x = 65,008.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.