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Finding the Third Proportional to 14,185.13 and 30,557.25

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Solution

The third proportional to 14,185.13 and 30,557.25 is: 65,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.13 : 30,557.25 = 30,557.25 : x
  2. Step 2: Convert to fraction form
    14,185.13/30,557.25 = 30,557.25/x
  3. Step 3: Cross multiply
    14,185.13x = 30,557.25 × 30,557.25
  4. Step 4: Simplify right side
    14,185.13x = 933,745,527.56
  5. Step 5: Solve for x
    x = 933,745,527.56/14,185.13
  6. Step 6: Final answer
    x = 65,825.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.