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Finding the Third Proportional to 30,530 and 48,254

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Solution

The third proportional to 30,530 and 48,254 is: 76,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530 : 48,254 = 48,254 : x
  2. Step 2: Convert to fraction form
    30,530/48,254 = 48,254/x
  3. Step 3: Cross multiply
    30,530x = 48,254 × 48,254
  4. Step 4: Simplify right side
    30,530x = 2,328,448,516
  5. Step 5: Solve for x
    x = 2,328,448,516/30,530
  6. Step 6: Final answer
    x = 76,267.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.