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Finding the Third Proportional to 18,894.94 and 29,491.17

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Solution

The third proportional to 18,894.94 and 29,491.17 is: 46,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.94 : 29,491.17 = 29,491.17 : x
  2. Step 2: Convert to fraction form
    18,894.94/29,491.17 = 29,491.17/x
  3. Step 3: Cross multiply
    18,894.94x = 29,491.17 × 29,491.17
  4. Step 4: Simplify right side
    18,894.94x = 869,729,218.56
  5. Step 5: Solve for x
    x = 869,729,218.56/18,894.94
  6. Step 6: Final answer
    x = 46,029.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.