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Finding the Third Proportional to 14,237.44 and 23,562.56

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Solution

The third proportional to 14,237.44 and 23,562.56 is: 38,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.44 : 23,562.56 = 23,562.56 : x
  2. Step 2: Convert to fraction form
    14,237.44/23,562.56 = 23,562.56/x
  3. Step 3: Cross multiply
    14,237.44x = 23,562.56 × 23,562.56
  4. Step 4: Simplify right side
    14,237.44x = 555,194,351.57
  5. Step 5: Solve for x
    x = 555,194,351.57/14,237.44
  6. Step 6: Final answer
    x = 38,995.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.