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Finding the Third Proportional to 11,556 and 23,659.59

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Solution

The third proportional to 11,556 and 23,659.59 is: 48,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 23,659.59 = 23,659.59 : x
  2. Step 2: Convert to fraction form
    11,556/23,659.59 = 23,659.59/x
  3. Step 3: Cross multiply
    11,556x = 23,659.59 × 23,659.59
  4. Step 4: Simplify right side
    11,556x = 559,776,376.42
  5. Step 5: Solve for x
    x = 559,776,376.42/11,556
  6. Step 6: Final answer
    x = 48,440.32

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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.