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Finding the Third Proportional to 13,797.38 and 29,995.13

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Solution

The third proportional to 13,797.38 and 29,995.13 is: 65,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.38 : 29,995.13 = 29,995.13 : x
  2. Step 2: Convert to fraction form
    13,797.38/29,995.13 = 29,995.13/x
  3. Step 3: Cross multiply
    13,797.38x = 29,995.13 × 29,995.13
  4. Step 4: Simplify right side
    13,797.38x = 899,707,523.77
  5. Step 5: Solve for x
    x = 899,707,523.77/13,797.38
  6. Step 6: Final answer
    x = 65,208.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.