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Finding the Third Proportional to 24,433.50 and 53,238.75

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Solution

The third proportional to 24,433.50 and 53,238.75 is: 116,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.50 : 53,238.75 = 53,238.75 : x
  2. Step 2: Convert to fraction form
    24,433.50/53,238.75 = 53,238.75/x
  3. Step 3: Cross multiply
    24,433.50x = 53,238.75 × 53,238.75
  4. Step 4: Simplify right side
    24,433.50x = 2,834,364,501.56
  5. Step 5: Solve for x
    x = 2,834,364,501.56/24,433.50
  6. Step 6: Final answer
    x = 116,003.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.