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Finding the Third Proportional to 30,676 and 48,066

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Solution

The third proportional to 30,676 and 48,066 is: 75,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676 : 48,066 = 48,066 : x
  2. Step 2: Convert to fraction form
    30,676/48,066 = 48,066/x
  3. Step 3: Cross multiply
    30,676x = 48,066 × 48,066
  4. Step 4: Simplify right side
    30,676x = 2,310,340,356
  5. Step 5: Solve for x
    x = 2,310,340,356/30,676
  6. Step 6: Final answer
    x = 75,314.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.