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Finding the Third Proportional to 12,541.50 and 29,379.38

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Solution

The third proportional to 12,541.50 and 29,379.38 is: 68,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.50 : 29,379.38 = 29,379.38 : x
  2. Step 2: Convert to fraction form
    12,541.50/29,379.38 = 29,379.38/x
  3. Step 3: Cross multiply
    12,541.50x = 29,379.38 × 29,379.38
  4. Step 4: Simplify right side
    12,541.50x = 863,147,675.39
  5. Step 5: Solve for x
    x = 863,147,675.39/12,541.50
  6. Step 6: Final answer
    x = 68,823.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.