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Finding the Third Proportional to 30,121 and 40,254

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Solution

The third proportional to 30,121 and 40,254 is: 53,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121 : 40,254 = 40,254 : x
  2. Step 2: Convert to fraction form
    30,121/40,254 = 40,254/x
  3. Step 3: Cross multiply
    30,121x = 40,254 × 40,254
  4. Step 4: Simplify right side
    30,121x = 1,620,384,516
  5. Step 5: Solve for x
    x = 1,620,384,516/30,121
  6. Step 6: Final answer
    x = 53,795.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.