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Finding the Third Proportional to 20,834 and 46,276

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Solution

The third proportional to 20,834 and 46,276 is: 102,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834 : 46,276 = 46,276 : x
  2. Step 2: Convert to fraction form
    20,834/46,276 = 46,276/x
  3. Step 3: Cross multiply
    20,834x = 46,276 × 46,276
  4. Step 4: Simplify right side
    20,834x = 2,141,468,176
  5. Step 5: Solve for x
    x = 2,141,468,176/20,834
  6. Step 6: Final answer
    x = 102,787.18

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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.