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Finding the Third Proportional to 14,326.13 and 30,768.38

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Solution

The third proportional to 14,326.13 and 30,768.38 is: 66,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.13 : 30,768.38 = 30,768.38 : x
  2. Step 2: Convert to fraction form
    14,326.13/30,768.38 = 30,768.38/x
  3. Step 3: Cross multiply
    14,326.13x = 30,768.38 × 30,768.38
  4. Step 4: Simplify right side
    14,326.13x = 946,692,900.14
  5. Step 5: Solve for x
    x = 946,692,900.14/14,326.13
  6. Step 6: Final answer
    x = 66,081.57

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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.