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Finding the Third Proportional to 18,932 and 29,396.94

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Solution

The third proportional to 18,932 and 29,396.94 is: 45,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,932 : 29,396.94 = 29,396.94 : x
  2. Step 2: Convert to fraction form
    18,932/29,396.94 = 29,396.94/x
  3. Step 3: Cross multiply
    18,932x = 29,396.94 × 29,396.94
  4. Step 4: Simplify right side
    18,932x = 864,179,934.38
  5. Step 5: Solve for x
    x = 864,179,934.38/18,932
  6. Step 6: Final answer
    x = 45,646.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.