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Finding the Third Proportional to 6,827.63 and 11,697.75

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Solution

The third proportional to 6,827.63 and 11,697.75 is: 20,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.63 : 11,697.75 = 11,697.75 : x
  2. Step 2: Convert to fraction form
    6,827.63/11,697.75 = 11,697.75/x
  3. Step 3: Cross multiply
    6,827.63x = 11,697.75 × 11,697.75
  4. Step 4: Simplify right side
    6,827.63x = 136,837,355.06
  5. Step 5: Solve for x
    x = 136,837,355.06/6,827.63
  6. Step 6: Final answer
    x = 20,041.72

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.