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Finding the Third Proportional to 24,003.84 and 50,490.84

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Solution

The third proportional to 24,003.84 and 50,490.84 is: 106,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003.84 : 50,490.84 = 50,490.84 : x
  2. Step 2: Convert to fraction form
    24,003.84/50,490.84 = 50,490.84/x
  3. Step 3: Cross multiply
    24,003.84x = 50,490.84 × 50,490.84
  4. Step 4: Simplify right side
    24,003.84x = 2,549,325,302.59
  5. Step 5: Solve for x
    x = 2,549,325,302.59/24,003.84
  6. Step 6: Final answer
    x = 106,204.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.