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Finding the Third Proportional to 24,561.56 and 50,153.63

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Solution

The third proportional to 24,561.56 and 50,153.63 is: 102,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.56 : 50,153.63 = 50,153.63 : x
  2. Step 2: Convert to fraction form
    24,561.56/50,153.63 = 50,153.63/x
  3. Step 3: Cross multiply
    24,561.56x = 50,153.63 × 50,153.63
  4. Step 4: Simplify right side
    24,561.56x = 2,515,386,100.64
  5. Step 5: Solve for x
    x = 2,515,386,100.64/24,561.56
  6. Step 6: Final answer
    x = 102,411.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.