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Finding the Third Proportional to 30,288 and 45,304

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Solution

The third proportional to 30,288 and 45,304 is: 67,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288 : 45,304 = 45,304 : x
  2. Step 2: Convert to fraction form
    30,288/45,304 = 45,304/x
  3. Step 3: Cross multiply
    30,288x = 45,304 × 45,304
  4. Step 4: Simplify right side
    30,288x = 2,052,452,416
  5. Step 5: Solve for x
    x = 2,052,452,416/30,288
  6. Step 6: Final answer
    x = 67,764.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.