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Finding the Third Proportional to 30,876 and 48,501

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Solution

The third proportional to 30,876 and 48,501 is: 76,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 48,501 = 48,501 : x
  2. Step 2: Convert to fraction form
    30,876/48,501 = 48,501/x
  3. Step 3: Cross multiply
    30,876x = 48,501 × 48,501
  4. Step 4: Simplify right side
    30,876x = 2,352,347,001
  5. Step 5: Solve for x
    x = 2,352,347,001/30,876
  6. Step 6: Final answer
    x = 76,186.91

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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.