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Finding the Third Proportional to 21,512.60 and 46,600.49

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Solution

The third proportional to 21,512.60 and 46,600.49 is: 100,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.60 : 46,600.49 = 46,600.49 : x
  2. Step 2: Convert to fraction form
    21,512.60/46,600.49 = 46,600.49/x
  3. Step 3: Cross multiply
    21,512.60x = 46,600.49 × 46,600.49
  4. Step 4: Simplify right side
    21,512.60x = 2,171,605,508.05
  5. Step 5: Solve for x
    x = 2,171,605,508.05/21,512.60
  6. Step 6: Final answer
    x = 100,945.74

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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.