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Finding the Third Proportional to 24,261.94 and 51,439.88

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Solution

The third proportional to 24,261.94 and 51,439.88 is: 109,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261.94 : 51,439.88 = 51,439.88 : x
  2. Step 2: Convert to fraction form
    24,261.94/51,439.88 = 51,439.88/x
  3. Step 3: Cross multiply
    24,261.94x = 51,439.88 × 51,439.88
  4. Step 4: Simplify right side
    24,261.94x = 2,646,060,740.02
  5. Step 5: Solve for x
    x = 2,646,060,740.02/24,261.94
  6. Step 6: Final answer
    x = 109,062.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.