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Finding the Third Proportional to 14,013.38 and 29,325

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Solution

The third proportional to 14,013.38 and 29,325 is: 61,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.38 : 29,325 = 29,325 : x
  2. Step 2: Convert to fraction form
    14,013.38/29,325 = 29,325/x
  3. Step 3: Cross multiply
    14,013.38x = 29,325 × 29,325
  4. Step 4: Simplify right side
    14,013.38x = 859,955,625
  5. Step 5: Solve for x
    x = 859,955,625/14,013.38
  6. Step 6: Final answer
    x = 61,366.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.