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Finding the Third Proportional to 11,835.75 and 17,784.19

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Solution

The third proportional to 11,835.75 and 17,784.19 is: 26,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.75 : 17,784.19 = 17,784.19 : x
  2. Step 2: Convert to fraction form
    11,835.75/17,784.19 = 17,784.19/x
  3. Step 3: Cross multiply
    11,835.75x = 17,784.19 × 17,784.19
  4. Step 4: Simplify right side
    11,835.75x = 316,277,325.04
  5. Step 5: Solve for x
    x = 316,277,325.04/11,835.75
  6. Step 6: Final answer
    x = 26,722.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.