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Finding the Third Proportional to 22,764.09 and 46,431.84

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Solution

The third proportional to 22,764.09 and 46,431.84 is: 94,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.09 : 46,431.84 = 46,431.84 : x
  2. Step 2: Convert to fraction form
    22,764.09/46,431.84 = 46,431.84/x
  3. Step 3: Cross multiply
    22,764.09x = 46,431.84 × 46,431.84
  4. Step 4: Simplify right side
    22,764.09x = 2,155,916,114.02
  5. Step 5: Solve for x
    x = 2,155,916,114.02/22,764.09
  6. Step 6: Final answer
    x = 94,706.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.