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Finding the Third Proportional to 22,286.81 and 46,408.78

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Solution

The third proportional to 22,286.81 and 46,408.78 is: 96,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.81 : 46,408.78 = 46,408.78 : x
  2. Step 2: Convert to fraction form
    22,286.81/46,408.78 = 46,408.78/x
  3. Step 3: Cross multiply
    22,286.81x = 46,408.78 × 46,408.78
  4. Step 4: Simplify right side
    22,286.81x = 2,153,774,977.11
  5. Step 5: Solve for x
    x = 2,153,774,977.11/22,286.81
  6. Step 6: Final answer
    x = 96,638.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.