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Finding the Third Proportional to 21,393.28 and 46,408.36

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Solution

The third proportional to 21,393.28 and 46,408.36 is: 100,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.28 : 46,408.36 = 46,408.36 : x
  2. Step 2: Convert to fraction form
    21,393.28/46,408.36 = 46,408.36/x
  3. Step 3: Cross multiply
    21,393.28x = 46,408.36 × 46,408.36
  4. Step 4: Simplify right side
    21,393.28x = 2,153,735,819.88
  5. Step 5: Solve for x
    x = 2,153,735,819.88/21,393.28
  6. Step 6: Final answer
    x = 100,673.47

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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.