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Finding the Third Proportional to 24,242.63 and 50,681.25

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Solution

The third proportional to 24,242.63 and 50,681.25 is: 105,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.63 : 50,681.25 = 50,681.25 : x
  2. Step 2: Convert to fraction form
    24,242.63/50,681.25 = 50,681.25/x
  3. Step 3: Cross multiply
    24,242.63x = 50,681.25 × 50,681.25
  4. Step 4: Simplify right side
    24,242.63x = 2,568,589,101.56
  5. Step 5: Solve for x
    x = 2,568,589,101.56/24,242.63
  6. Step 6: Final answer
    x = 105,953.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.