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Finding the Third Proportional to 30,674 and 73,445

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Solution

The third proportional to 30,674 and 73,445 is: 175,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674 : 73,445 = 73,445 : x
  2. Step 2: Convert to fraction form
    30,674/73,445 = 73,445/x
  3. Step 3: Cross multiply
    30,674x = 73,445 × 73,445
  4. Step 4: Simplify right side
    30,674x = 5,394,168,025
  5. Step 5: Solve for x
    x = 5,394,168,025/30,674
  6. Step 6: Final answer
    x = 175,854.73

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.