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Finding the Third Proportional to 11,301.75 and 16,722.19

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Solution

The third proportional to 11,301.75 and 16,722.19 is: 24,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.75 : 16,722.19 = 16,722.19 : x
  2. Step 2: Convert to fraction form
    11,301.75/16,722.19 = 16,722.19/x
  3. Step 3: Cross multiply
    11,301.75x = 16,722.19 × 16,722.19
  4. Step 4: Simplify right side
    11,301.75x = 279,631,554.79
  5. Step 5: Solve for x
    x = 279,631,554.79/11,301.75
  6. Step 6: Final answer
    x = 24,742.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.