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Finding the Third Proportional to 22,953.38 and 48,662.44

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Solution

The third proportional to 22,953.38 and 48,662.44 is: 103,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.38 : 48,662.44 = 48,662.44 : x
  2. Step 2: Convert to fraction form
    22,953.38/48,662.44 = 48,662.44/x
  3. Step 3: Cross multiply
    22,953.38x = 48,662.44 × 48,662.44
  4. Step 4: Simplify right side
    22,953.38x = 2,368,032,823.44
  5. Step 5: Solve for x
    x = 2,368,032,823.44/22,953.38
  6. Step 6: Final answer
    x = 103,167.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.