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Finding the Third Proportional to 20,128.50 and 46,787.63

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Solution

The third proportional to 20,128.50 and 46,787.63 is: 108,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.50 : 46,787.63 = 46,787.63 : x
  2. Step 2: Convert to fraction form
    20,128.50/46,787.63 = 46,787.63/x
  3. Step 3: Cross multiply
    20,128.50x = 46,787.63 × 46,787.63
  4. Step 4: Simplify right side
    20,128.50x = 2,189,081,853.14
  5. Step 5: Solve for x
    x = 2,189,081,853.14/20,128.50
  6. Step 6: Final answer
    x = 108,755.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.