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Finding the Third Proportional to 11,700 and 21,908.25

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Solution

The third proportional to 11,700 and 21,908.25 is: 41,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 21,908.25 = 21,908.25 : x
  2. Step 2: Convert to fraction form
    11,700/21,908.25 = 21,908.25/x
  3. Step 3: Cross multiply
    11,700x = 21,908.25 × 21,908.25
  4. Step 4: Simplify right side
    11,700x = 479,971,418.06
  5. Step 5: Solve for x
    x = 479,971,418.06/11,700
  6. Step 6: Final answer
    x = 41,023.20

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.