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Finding the Third Proportional to 30,119 and 44,742

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Solution

The third proportional to 30,119 and 44,742 is: 66,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,119 : 44,742 = 44,742 : x
  2. Step 2: Convert to fraction form
    30,119/44,742 = 44,742/x
  3. Step 3: Cross multiply
    30,119x = 44,742 × 44,742
  4. Step 4: Simplify right side
    30,119x = 2,001,846,564
  5. Step 5: Solve for x
    x = 2,001,846,564/30,119
  6. Step 6: Final answer
    x = 66,464.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.