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Finding the Third Proportional to 14,967.70 and 24,945.26

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Solution

The third proportional to 14,967.70 and 24,945.26 is: 41,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.70 : 24,945.26 = 24,945.26 : x
  2. Step 2: Convert to fraction form
    14,967.70/24,945.26 = 24,945.26/x
  3. Step 3: Cross multiply
    14,967.70x = 24,945.26 × 24,945.26
  4. Step 4: Simplify right side
    14,967.70x = 622,265,887.33
  5. Step 5: Solve for x
    x = 622,265,887.33/14,967.70
  6. Step 6: Final answer
    x = 41,573.91

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.