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Finding the Third Proportional to 11,588.06 and 23,760.84

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Solution

The third proportional to 11,588.06 and 23,760.84 is: 48,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.06 : 23,760.84 = 23,760.84 : x
  2. Step 2: Convert to fraction form
    11,588.06/23,760.84 = 23,760.84/x
  3. Step 3: Cross multiply
    11,588.06x = 23,760.84 × 23,760.84
  4. Step 4: Simplify right side
    11,588.06x = 564,577,695.71
  5. Step 5: Solve for x
    x = 564,577,695.71/11,588.06
  6. Step 6: Final answer
    x = 48,720.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.