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Finding the Third Proportional to 10,969.17 and 11,789.30

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Solution

The third proportional to 10,969.17 and 11,789.30 is: 12,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.17 : 11,789.30 = 11,789.30 : x
  2. Step 2: Convert to fraction form
    10,969.17/11,789.30 = 11,789.30/x
  3. Step 3: Cross multiply
    10,969.17x = 11,789.30 × 11,789.30
  4. Step 4: Simplify right side
    10,969.17x = 138,987,520.81
  5. Step 5: Solve for x
    x = 138,987,520.81/10,969.17
  6. Step 6: Final answer
    x = 12,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.