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Finding the Third Proportional to 30,940 and 48,258

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Solution

The third proportional to 30,940 and 48,258 is: 75,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940 : 48,258 = 48,258 : x
  2. Step 2: Convert to fraction form
    30,940/48,258 = 48,258/x
  3. Step 3: Cross multiply
    30,940x = 48,258 × 48,258
  4. Step 4: Simplify right side
    30,940x = 2,328,834,564
  5. Step 5: Solve for x
    x = 2,328,834,564/30,940
  6. Step 6: Final answer
    x = 75,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.