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Finding the Third Proportional to 23,476.08 and 48,797.44

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Solution

The third proportional to 23,476.08 and 48,797.44 is: 101,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.08 : 48,797.44 = 48,797.44 : x
  2. Step 2: Convert to fraction form
    23,476.08/48,797.44 = 48,797.44/x
  3. Step 3: Cross multiply
    23,476.08x = 48,797.44 × 48,797.44
  4. Step 4: Simplify right side
    23,476.08x = 2,381,189,906.57
  5. Step 5: Solve for x
    x = 2,381,189,906.57/23,476.08
  6. Step 6: Final answer
    x = 101,430.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.