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Finding the Third Proportional to 21,219.75 and 46,676.63

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Solution

The third proportional to 21,219.75 and 46,676.63 is: 102,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.75 : 46,676.63 = 46,676.63 : x
  2. Step 2: Convert to fraction form
    21,219.75/46,676.63 = 46,676.63/x
  3. Step 3: Cross multiply
    21,219.75x = 46,676.63 × 46,676.63
  4. Step 4: Simplify right side
    21,219.75x = 2,178,707,321.39
  5. Step 5: Solve for x
    x = 2,178,707,321.39/21,219.75
  6. Step 6: Final answer
    x = 102,673.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.