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Finding the Third Proportional to 14,524 and 30,304

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Solution

The third proportional to 14,524 and 30,304 is: 63,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524 : 30,304 = 30,304 : x
  2. Step 2: Convert to fraction form
    14,524/30,304 = 30,304/x
  3. Step 3: Cross multiply
    14,524x = 30,304 × 30,304
  4. Step 4: Simplify right side
    14,524x = 918,332,416
  5. Step 5: Solve for x
    x = 918,332,416/14,524
  6. Step 6: Final answer
    x = 63,228.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.