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Finding the Third Proportional to 20,836 and 46,280

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Solution

The third proportional to 20,836 and 46,280 is: 102,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836 : 46,280 = 46,280 : x
  2. Step 2: Convert to fraction form
    20,836/46,280 = 46,280/x
  3. Step 3: Cross multiply
    20,836x = 46,280 × 46,280
  4. Step 4: Simplify right side
    20,836x = 2,141,838,400
  5. Step 5: Solve for x
    x = 2,141,838,400/20,836
  6. Step 6: Final answer
    x = 102,795.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.