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Finding the Third Proportional to 13,737.94 and 30,108.38

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Solution

The third proportional to 13,737.94 and 30,108.38 is: 65,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.94 : 30,108.38 = 30,108.38 : x
  2. Step 2: Convert to fraction form
    13,737.94/30,108.38 = 30,108.38/x
  3. Step 3: Cross multiply
    13,737.94x = 30,108.38 × 30,108.38
  4. Step 4: Simplify right side
    13,737.94x = 906,514,245.14
  5. Step 5: Solve for x
    x = 906,514,245.14/13,737.94
  6. Step 6: Final answer
    x = 65,986.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.