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Finding the Third Proportional to 25,330 and 55,322

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Solution

The third proportional to 25,330 and 55,322 is: 120,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,330 : 55,322 = 55,322 : x
  2. Step 2: Convert to fraction form
    25,330/55,322 = 55,322/x
  3. Step 3: Cross multiply
    25,330x = 55,322 × 55,322
  4. Step 4: Simplify right side
    25,330x = 3,060,523,684
  5. Step 5: Solve for x
    x = 3,060,523,684/25,330
  6. Step 6: Final answer
    x = 120,826.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.