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Finding the Third Proportional to 28,274 and 61,420

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Solution

The third proportional to 28,274 and 61,420 is: 133,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274 : 61,420 = 61,420 : x
  2. Step 2: Convert to fraction form
    28,274/61,420 = 61,420/x
  3. Step 3: Cross multiply
    28,274x = 61,420 × 61,420
  4. Step 4: Simplify right side
    28,274x = 3,772,416,400
  5. Step 5: Solve for x
    x = 3,772,416,400/28,274
  6. Step 6: Final answer
    x = 133,423.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.